<PAGE>

                                                                    EXHIBIT 10.1
                         SECURITIES PURCHASE AGREEMENT


     This SECURITIES PURCHASE AGREEMENT (the "Agreement"), dated as of March 2,
                                              ---------
2001, is entered into by and among Data Race Inc. (doing business as IP Axess),
a Texas corporation, with headquarters located at 6509 Windcrest Drive, Suite
120, Plano, Texas 75024 (the "Company"), and the investors listed on Schedule 1
                              -------                                ----------
attached hereto (individually, a "Buyer" and collectively, the "Buyers").
                                  -----                         ------

     WHEREAS:

     A.  The Company and the Buyers are executing and delivering this Agreement
in reliance upon the exemption from securities registration afforded by Rule 506
of Regulation D ("Regulation D") as promulgated by the United States Securities
                  ------------
and Exchange Commission (the "SEC") under the Securities Act of 1933, as amended
                              ---
(the "1933 Act");
      --------

     B.  The Buyers wish to purchase, upon the terms and conditions stated in
this Agreement, an aggregate of 3,047,620 shares of the Company's Common Stock,
no par value per share (the "Common Shares"), in the respective amounts set
                             -------------
forth opposite each Buyer's name on Schedule 1 and warrants, in substantially
                                    ----------
the same form attached hereto as Exhibit D (the "Warrants") to acquire 304,762
                                 ---------       --------
shares of Company Common Stock (as exercised, collectively, the "Warrant
                                                                 -------
Shares"); and
------

     C.  Contemporaneously with the execution and delivery of this Agreement,
the parties hereto are executing and delivering a Registration Rights Agreement
substantially in the form attached hereto as Exhibit A (the "Registration Rights
                                             ---------       -------------------
Agreement") pursuant to which the Company has agreed to provide certain
---------
registration rights under the 1933 Act and the rules and regulations promulgated
thereunder, and applicable state securities laws.


     NOW THEREFORE, the Company and the Buyers hereby agree as follows:

     1.   PURCHASE AND SALE OF COMMON SHARES AND WARRANTS.
          -----------------------------------------------

          a.  Purchase of Common Shares and Warrants.  In connection with the
              --------------------------------------
offering (the "Offering") by the Company of its common stock and warrants to the
               --------
Buyers, and subject to the satisfaction (or waiver) of the conditions set forth
in Sections 6 and 7 below, the Company shall issue and sell to each Buyer and
each Buyer severally agrees to purchase from the Company the respective number
of shares of Common Shares set forth opposite such Buyer's name on Schedule 1,
                                                                   ----------
along with Warrants to acquire the respective number of Warrant Shares set forth
opposite such Buyer's name on Schedule 1 (the "Closing").  For each share of
                              ----------       -------
Common Stock purchased by a Buyer pursuant to this Agreement, the Company shall
issue a Warrant to purchase 10/100 (0.10) Warrant Shares.  The purchase price
for each share of Common Stock and Warrant
<PAGE>

to purchase 10/100 (0.10) Warrant Shares shall be $0.65625 (the "Purchase Price
                                                                 --------------
Per Unit"), which shall equal the lesser of (i) seventy percent (70%) of the
--------
closing bid price for the Company's Common Stock (as quoted on the Principal
Market, defined below) on the Closing Date (defined below) or (ii) seventy
percent (70%) of the average of the closing bid prices for the Company's Common
Stock (as quoted on the Principal Market) for the five (5) Business Days
(defined below) immediately preceding the Closing Date. The Warrants shall have
a term of five (5) years and an exercise price equal to the average of the
closing bid prices for the Company's Common Stock (as quoted on the Principal
Market) for the five (5) Business Days immediately preceding the Closing Date.
The aggregate purchase price (the "Purchase Price") of the Common Shares and the
                                   --------------
related Warrants at the Closing shall be $2,000,000.

          b.  Closing Date.  The date and time of the Closing (the "Closing
              ------------                                          -------
Date") shall be 10:00 a.m. Central Time, within three (3) Business Days
----
following the date hereof, subject to notification of satisfaction (or waiver)
of the conditions to the Closing set forth in Sections 6 and 7 below (or such
later date as is mutually agreed to by the Company and the Buyers). The Closing
shall occur on the Closing Date at the location mutually agreed upon by the
Buyers and the Company. For purposes of this Agreement, "Business Day" means any
                                                         ------------
day on which the Principal Market is open for business and the Company's Common
Stock is able to be purchased or sold through such Principal Market.

          c.  Form of Payment.  On the Closing Date, (i) subject to the
              ---------------
satisfaction (or waiver) of the conditions set forth in Section 7 below, each
Buyer shall pay the Purchase Price to the Company, for the Common Shares and
Warrants to be issued and sold to such Buyer at the Closing, by wire transfer of
immediately available funds in accordance with the Company's written wire
instructions, and (ii) subject to the satisfaction (or waiver) of the conditions
set forth in Section 6 below, the Company shall deliver to Strategic Investment
Counsel, LLC, c/o Anthony J. Ribaudo, Esq., located at 666 Dundee Road, Suite
1901, Northbrook, Illinois 60062, as the escrow agent (the "Escrow Agent"), on
                                                            ------------
behalf of each Buyer, stock certificates (in the denominations as such Buyer
shall request) (the "Common Share Certificates") representing such number of the
                     -------------------------
Common Shares which such Buyer is then purchasing (as indicated opposite such
Buyer's name on Schedule 1) along with the Warrants such Buyer is purchasing (as
                ----------
indicated opposite such Buyer's name on Schedule 1) hereunder, duly executed on
                                        ----------
behalf of the Company and registered in the name of such Buyer or its designee.
Upon the completion of the conditions contained in Sections 6 and 7 of this
Agreement, the Escrow Agent shall deliver the certificates representing the
Common Shares and the Warrants to the Buyers via overnight courier after the
Buyers have wired the Purchase Price to the Company.

     2.   BUYER'S REPRESENTATIONS AND WARRANTIES.
          --------------------------------------

          Each Buyer represents and warrants with respect to only itself that:

          a.  Investment Purpose.  Such Buyer is acquiring the Common Shares and
              ------------------
Warrants (the Common Shares, Warrants and Warrant Shares may also be referred to
herein as

                                       2
<PAGE>

the "Securities"), for its own account for investment only and not with a view
     ----------
towards, or for resale in connection with, the public sale or distribution
thereof, except pursuant to sales registered or exempted under the 1933 Act;
provided, however, that by making the representations herein, such Buyer does
not agree to hold any of the Securities for any minimum or other specific term
and reserves the right to dispose of the Securities at any time in accordance
with or pursuant to a registration statement or an exemption under the 1933 Act.

          b.  Accredited Investor Status.  Such Buyer is an "accredited
              --------------------------
investor" as that term is defined in Rule 501 of Regulation D.

          c.  Reliance on Exemptions.  Such Buyer understands that the
              ----------------------
Securities are being offered and sold to it in reliance on specific exemptions
from the registration requirements of United States federal and state securities
laws and that the Company is relying in part upon the truth and accuracy of, and
such Buyer's compliance with, the representations, warranties, agreements,
acknowledgments and understandings of such Buyer set forth herein in order to
determine the availability of such exemptions and the eligibility of such Buyer
to acquire such Securities.

          d.  Information.  Such Buyer and its advisors, if any, have been
              -----------
furnished with all materials relating to the business, finances and operations
of the Company and materials relating to the offer and sale of the Securities
which have been requested by such Buyer.  Such Buyer and its advisors, if any,
have been afforded the opportunity to ask questions of the Company.  Neither
such inquiries nor any other due diligence investigations conducted by such
Buyer or its advisors, if any, or its representatives shall modify, amend or
affect such Buyer's right to rely on the Company's representations and
warranties contained in Section 3 below.  Such Buyer understands that its
investment in the Securities involves a high degree of risk.  Such Buyer has
sought such accounting, legal and tax advice as it has considered necessary to
make an informed investment decision with respect to its acquisition of the
Securities. Such Buyer understands that only officers of the Company are
authorized to provide information on behalf of the Company and that no other
person is authorized to provide information on the Company's behalf. Such Buyer
acknowledges that it has reviewed the SEC Documents (as defined below) and
information set forth under the heading "Risk Factors" in the Company's annual
report on Form 10-K filed October 1, 1999.

          e.  No Governmental Review.  Such Buyer understands that no United
              ----------------------
States federal or state agency or any other government or governmental agency
has passed on or made any recommendation or endorsement of the Securities or the
fairness or suitability of the investment in the Securities nor have such
authorities passed upon or endorsed the merits of the offering of the
Securities.

          f.  Transfer or Resale.  Such Buyer understands that except as
              ------------------
provided in the Registration Rights Agreement: (i) the Securities have not been
and are not being registered under the 1933 Act or any state securities laws,
and may not be offered for sale, sold, assigned or

                                       3
<PAGE>

transferred unless (A) subsequently registered thereunder, (B) such Buyer shall
have delivered to the Company an opinion of counsel, in a generally acceptable
form, to the effect that such Securities to be sold, assigned or transferred may
be sold, assigned or transferred pursuant to an exemption from such
registration, or (C) such Buyer provides the Company with reasonable assurance
that such Securities can be sold, assigned or transferred pursuant to Rule 144
promulgated under the 1933 Act, as amended, (or a successor rule thereto) ("Rule
                                                                            ----
144"); (ii) any sale of the Securities made in reliance on Rule 144 may be made
---
only in accordance with the terms of Rule 144 and further, and (iii) if Buyer
intends to utilize Rule 144 but Rule 144 is not applicable to such resale, any
resale of the Securities under circumstances in which the Buyer (or the person
through whom the sale is made) may be deemed to be an underwriter (as that term
is defined in the 1933 Act) may require compliance with some other exemption
under the 1933 Act or the rules and regulations of the SEC thereunder.

          g.  Legends.  Such Buyer understands that the certificates or other
              -------
instruments representing the Warrants, Warrant Shares, and Common Shares, except
as set forth below, shall bear a restrictive legend in substantially the
following form (and a stop-transfer order may be placed against transfer of such
stock certificates):

     THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN
     REGISTERED UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR
     APPLICABLE STATE SECURITIES LAWS. THE SECURITIES HAVE BEEN
     ACQUIRED FOR INVESTMENT AND MAY NOT BE OFFERED FOR SALE,
     SOLD, TRANSFERRED OR ASSIGNED (1) IN THE ABSENCE OF AN
     EFFECTIVE REGISTRATION STATEMENT FOR THE SECURITIES UNDER
     THE SECURITIES ACT OF 1933, AS AMENDED (THE "1933 ACT"), OR
     APPLICABLE STATE SECURITIES LAWS, OR (2) IN THE ABSENCE OF
     AN OPINION OF COUNSEL, IN A GENERALLY ACCEPTABLE FORM, THAT
     REGISTRATION IS NOT REQUIRED UNDER THE 1933 ACT OR (3)
     UNLESS SOLD, TRANSFERRED OR ASSIGNED PURSUANT TO RULE 144
     UNDER SAID ACT.

The legend set forth above shall be removed and the Company shall issue a
certificate without such legend to the holder of the Securities upon which it is
stamped, if, unless otherwise required by state securities laws, (i) such
Securities are registered and sold under the 1933 Act, (ii) in connection with a
sale transaction, such holder provides the Company with an opinion of counsel,
in a generally acceptable form, to the effect that a public sale, assignment or
transfer of the Securities may be made without registration under the 1933 Act,
or (iii) such holder provides the Company with reasonable assurances that the
Securities can be sold pursuant to Rule 144 without any restriction as to the
number of securities acquired as of a particular date that can then be
immediately sold.

          h.  Validity; Enforcement.  This Agreement has been duly and validly
              ---------------------
authorized, executed and delivered on behalf of such Buyer and is a valid and
binding agreement

                                       4
<PAGE>

of such Buyer enforceable against such Buyer in accordance with its terms,
subject as to enforceability to general principles of equity and to applicable
bankruptcy, insolvency, reorganization, moratorium, liquidation and other
similar laws relating to, or affecting generally, the enforcement of applicable
creditors' rights and remedies.

          i.  Residency.  Such Buyer is a resident of that country and state
              ---------
specified in its address on Schedule 1.
                            ----------

          j.  No Broker-Dealer Affiliation.  Such Buyer is not an affiliate (as
              ----------------------------
that term is defined in Rule 144(a) promulgated under the 1933 Act) of a broker-
dealer registered with the SEC.

          k.  Short Sales.  No Buyer shall have as of the Closing Date, and no
              -----------
Buyer shall have had during the 10 Business Days prior to the Closing Date, any
net short position, put option or other similar exchange-traded instrument with
respect to the Company's Common Stock.

     3.   REPRESENTATIONS AND WARRANTIES OF THE COMPANY.
          ---------------------------------------------

          The Company represents and warrants to each of the Buyers that:

          a.  Organization and Qualification.  The Company and its
              ------------------------------
"Subsidiaries" (which for purposes of this Agreement means any entity in which
 ------------
the Company, directly or indirectly, owns a controlling position of capital
stock or holds a controlling position of an equity or similar interest) are
corporations duly organized and validly existing in good standing under the laws
of the jurisdiction in which they are incorporated, and have the requisite
corporate power and authorization to own their properties and to carry on their
business as now being conducted.  Each of the Company and its Subsidiaries is
duly qualified as a foreign corporation to do business and is in good standing
in every jurisdiction in which its ownership of property or the nature of the
business conducted by it makes such qualification necessary, except to the
extent that the failure to be so qualified or be in good standing would not have
a Material Adverse Effect.  As used in this Agreement, "Material Adverse Effect"
                                                        -----------------------
means any material adverse effect on the business, properties, assets,
operations, results of operations or financial condition of the Company and its
Subsidiaries, if any, taken as a whole, or on the transactions contemplated
hereby or by the agreements and instruments to be entered into in connection
herewith, or on the authority or ability of the Company to perform its
obligations under the Transaction Documents (as defined below).

          b.  Authorization; Enforcement; Validity.  (i) The Company has the
              ------------------------------------
requisite corporate power and authority to enter into and perform this
Agreement, the Registration Rights Agreement, the Transfer Agent Instructions
(as defined in Section 5), the Warrants and each of the other agreements entered
into by the parties hereto in connection with the transactions contemplated by
this Agreement (collectively, the "Transaction Documents"), and to issue the
                                   ---------------------
Securities in accordance with the terms hereof and thereof, (ii) the execution
and delivery of the Transaction Documents by the Company and the consummation by
it of the transactions

                                       5
<PAGE>

contemplated hereby and thereby, including without limitation the issuance of
the Common Shares and the Warrants and the reservation for issuance and the
issuance of the Warrant Shares issuable upon exercise thereof, have been duly
authorized by the Company's Board of Directors and no further consent or
authorization is required by the Company, its Board of Directors or its
stockholders, (iii) the Transaction Documents have been duly executed and
delivered by the Company, and (iv) the Transaction Documents constitute the
valid and binding obligations of the Company enforceable against the Company in
accordance with their terms, except as such enforceability may be limited by
general principles of equity or applicable bankruptcy, insolvency,
reorganization, moratorium, liquidation or similar laws relating to, or
affecting generally, the enforcement of creditors' rights and remedies.

          c.  Issuance of Securities.  The Common Shares and Warrants are duly
              ----------------------
authorized and, upon issuance in accordance with the terms hereof, shall be (i)
validly issued, fully paid and non-assessable and (ii) free from all taxes,
liens and charges with respect to the issue thereof. 304,762 shares of Common
Stock have been duly authorized and reserved for issuance upon exercise of the
Warrants.  Upon exercise in accordance with the Warrants, the Warrant Shares
will be validly issued, fully paid and nonassessable and free from all taxes,
liens and charges with respect to the issue thereof, with the holders being
entitled to all rights accorded to a holder of Common Stock.  The issuance by
the Company of the Securities is exempt from registration under the 1933 Act.

          d.  No Conflicts.  The execution, delivery and performance of the
              ------------
Transaction Documents by the Company and the consummation by the Company of the
transactions contemplated hereby and thereby (including, without limitation, the
Company's issuance of the Common Shares and the reservation for issuance and
issuance of the Warrant Shares) will not (i) result in a violation of the
Company's Articles of Incorporation, as amended and as in effect on the date
hereof (the "Articles of Incorporation") or the Company's By-laws, as amended
             -------------------------
and as in effect on the date hereof (the "By-laws") or (ii) conflict with, or
                                          -------
constitute a default (or an event which with notice or lapse of time or both
would become a default) under, or give to others any rights of termination,
amendment, acceleration or cancellation of, any material agreement, indenture or
instrument to which the Company or any of its Subsidiaries is a party, or result
in a violation of any law, rule, regulation, order, judgment or decree
(including federal and state securities laws and regulations and the rules and
regulations of the Principal Market (as defined below)) applicable to the
Company or any of its Subsidiaries or by which any property or asset of the
Company or any of its Subsidiaries is bound or affected; provided that the
issuance of the Common Shares at a discount from the current market price will
result in typical anti-dilution adjustments to outstanding warrants.  Neither
the Company nor its Subsidiaries is in violation of any term of or in default
under its Articles of Incorporation, or By-laws or their organizational charter
or by-laws, respectively.  Neither the Company or any of its Subsidiaries is in
violation of any term of or in default under any contract, agreement, mortgage,
indebtedness, indenture, instrument, judgment, decree or order or any statute,
rule or regulation applicable to the Company or its Subsidiaries, except for
possible conflicts, defaults, terminations, amendments which would not
reasonably be expected to have a Material Adverse Effect.  The business of the
Company and

                                       6
<PAGE>

its Subsidiaries is not being conducted, and shall not be conducted, in
violation of any law, ordinance, regulation of any governmental entity, except
for possible violations the sanctions for which either individually or in the
aggregate would not reasonably be expected to have a Material Adverse Effect.
Except as specifically contemplated by the Transaction Documents and as required
under the 1933 Act, the Company is not required to obtain any consent,
authorization or order of, or make any filing or registration with, any court or
governmental agency or any regulatory or self-regulatory agency in order for it
to execute, deliver or perform any of its obligations under or contemplated by
the Transaction Documents in accordance with the terms hereof or thereof. All
consents, authorizations, orders, filings and registrations which the Company is
required to obtain prior to Closing pursuant to the preceding sentence have been
obtained or effected on or prior to the date hereof. The Company and its
Subsidiaries are unaware of any facts or circumstances which might give rise to
any of the foregoing. The Company is not in violation of the listing
requirements of the Principal Market (as defined below).

          e.  SEC Documents; Financial Statements.  As of the Closing, the
              -----------------------------------
Company has filed all reports, schedules, forms, statements and other documents
required to be filed by it with the SEC pursuant to the reporting requirements
of the Securities Exchange Act of 1934, as amended (the "1934 Act") (all of the
                                                         --------
foregoing filed since June 30, 1999 and all exhibits included therein and
financial statements and schedules thereto and documents incorporated by
reference therein being hereinafter referred to as the "SEC Documents").  As of
                                                        -------------
their respective dates, the SEC Documents complied in all material respects with
the requirements of the 1934 Act and the rules and regulations of the SEC
promulgated thereunder applicable to the SEC Documents, and none of the SEC
Documents, at the time they were filed with the SEC, contained any untrue
statement of a material fact or omitted to state a material fact required to be
stated therein or necessary in order to make the statements therein, in light of
the circumstances under which they were made, not misleading.  As of their
respective dates, the financial statements of the Company included in the SEC
Documents complied as to form in all material respects with applicable
accounting requirements and the published rules and regulations of the SEC with
respect thereto.  Such financial statements have been prepared in accordance
with generally accepted accounting principles, consistently applied, during the
periods involved (except (i) as may be otherwise indicated in such financial
statements or the notes thereto, or (ii) in the case of unaudited interim
statements, to the extent they may exclude footnotes or may be condensed or
summary statements) and fairly present in all material respects the financial
position of the Company as of the dates thereof and the results of its
operations and cash flows for the periods then ended (subject, in the case of
unaudited statements, to normal year-end audit adjustments).  No other
information provided by or on behalf of the Company to the Buyers which is not
included in the SEC Documents contains any untrue statement of a material fact
or omits to state any material fact necessary in order to make the statements
therein, in the light of the circumstance under which they are or were made, not
misleading.  Neither the Company nor any of its Subsidiaries or any of their
officers, directors, employees or agents have provided the Buyers with any
material, nonpublic information.  The representations herein are subject to
Schedule 3(e).
-------------

                                       7
<PAGE>

          f.  Absence of Certain Changes.  Since the most recent 1934 Act filing
              --------------------------
by the Company with the SEC, there has been no material adverse change and no
material adverse development in the business, properties, operations, financial
condition or results of operations of the Company or its Subsidiaries.  The
Company has not taken any steps, and does not currently expect to take any
steps, to seek protection pursuant to any bankruptcy law nor does the Company or
any of its Subsidiaries have any knowledge or reason to believe that its
creditors intend to initiate involuntary bankruptcy proceedings.

          g.  Absence of Litigation.  Except as set forth in the SEC Documents
              ---------------------
and Schedule 3(g), there is no action, suit, proceeding, inquiry or
    -------------
investigation before or by any court, public board, government agency, self-
regulatory organization or body pending or, to the knowledge of the Company or
any of its Subsidiaries, threatened against or materially adversely affecting
the Company, the Company's common stock, the Common Shares or any of the
Company's Subsidiaries or any of the Company's or the Company's Subsidiaries'
officers or directors in their capacities as such.

          h.  [Omitted].

          i.  No Undisclosed Events, Liabilities, Developments or Circumstances.
              -----------------------------------------------------------------
No event, liability, development or circumstance has occurred or exists, or is
contemplated to occur, with respect to the Company or its Subsidiaries or their
respective business, properties, prospects, operations or financial condition,
that would be required to be disclosed by the Company under applicable
securities laws on a registration statement filed with the SEC relating to an
issuance and sale by the Company of its common stock and which has not been
publicly announced.

          j.  No General Solicitation.  Neither the Company, nor any of its
              -----------------------
affiliates, nor any person acting on its or their behalf, has engaged in any
form of general solicitation or general advertising (within the meaning of
Regulation D under the 1933 Act) in connection with the offer or sale of the
Securities.

          k.  No Integrated Offering.  Neither the Company, nor any of its
              ----------------------
affiliates, nor any person acting on its or their behalf has, directly or
indirectly, made any offers or sales of any security or solicited any offers to
buy any security, under circumstances that would require registration of any of
the Securities under the 1933 Act or cause this offering of the Securities to be
integrated with prior offerings by the Company for purposes of the 1933 Act or
any applicable stockholder approval provisions, including, without limitation,
under the rules and regulations of any exchange or automated quotation system on
which any of the securities of the Company are listed or designated, nor will
the Company or any of its Subsidiaries take any action or steps that would
require registration of any of the Securities under the 1933 Act or cause the
offering of the Securities to be integrated with other offerings.

                                       8
<PAGE>

          l.  Employee Relations.  Neither the Company nor any of its
              ------------------
Subsidiaries is involved in any union labor dispute nor, to the knowledge of the
Company or any of its Subsidiaries, is any such dispute threatened.

          m.  Intellectual Property Rights. To the best of their knowledge, the
              ----------------------------
Company and its Subsidiaries own or possess adequate rights or licenses to use
all trademarks, trade names, service marks, service mark registrations, service
names, patents, patent rights, copyrights, inventions, licenses, approvals,
governmental authorizations, trade secrets and rights necessary to conduct their
respective businesses as now conducted.  To the best of their knowledge, none of
the Company's trademarks, trade names, service marks, service mark
registrations, service names, patents, patent rights, copyrights, inventions,
licenses, approvals, government authorizations, trade secrets or other
intellectual property rights necessary to conduct its business have expired or
terminated, or are expected to expire or terminate within two years from the
date of this Agreement.  The Company and its Subsidiaries do not have any
knowledge of any infringement by the Company or its Subsidiaries of trademark,
trade name rights, patents, patent rights, copyrights, inventions, licenses,
service names, service marks, service mark registrations, trade secret or other
similar rights of others, or of any such development of similar or identical
trade secrets or technical information by others and the Company and its
Subsidiaries are unaware of any facts or circumstances which might give rise to
any of the foregoing.  The Company and its Subsidiaries have taken reasonable
security measures to protect the secrecy, confidentiality and value of all of
their intellectual properties.

          n.  Environmental Laws.  The Company and its Subsidiaries (i) are in
              ------------------
compliance with any and all applicable foreign, federal, state and local laws
and regulations relating to the protection of human health and safety, the
environment or hazardous or toxic substances or wastes, pollutants or
contaminants ("Environmental Laws"), (ii) have received all permits, licenses or
               ------------------
other approvals required of them under applicable Environmental Laws to conduct
their respective businesses and (iii) are in compliance with all terms and
conditions of any such permit, license or approval; except for, in each of the
foregoing cases, the failure to so comply would not reasonably be expected to
have a Material Adverse Effect.

          o.  Title.  The Company and its Subsidiaries have good and marketable
              -----
title in fee simple to all real property and good and marketable title to all
personal property owned by them which is material to the business of the Company
and its Subsidiaries, in each case free and clear of all liens, encumbrances and
defects except such as are described in the SEC Documents or such as do not
materially affect the value of such property and do not interfere with the use
made and proposed to be made of such property by the Company and any of its
Subsidiaries.  Any real property and facilities held under lease by the Company
and any of its Subsidiaries are held by them under valid, subsisting and
enforceable leases with such exceptions as are not material and do not interfere
with the use made and proposed to be made of such property and buildings by the
Company and its Subsidiaries.

                                       9
<PAGE>

          p.  Insurance.  The Company and each of its Subsidiaries are insured
              ---------
by insurers of recognized financial responsibility against such losses and risks
and in such amounts as management of the Company believes to be prudent and
customary in the businesses in which the Company and its Subsidiaries are
engaged and the Company does not have any reason to believe it will not be able
to renew its existing insurance coverage under substantially similar terms for
the next two (2) years.

          q.  Regulatory Permits.  The Company and its Subsidiaries possess all
              ------------------
certificates, authorizations and permits issued by the appropriate federal,
state or foreign regulatory authorities necessary to conduct their respective
businesses (except where the failure to so comply would not reasonably be
expected to have a Material Adverse Effect), and neither the Company nor any
such Subsidiary has received any notice of proceedings relating to the
revocation or modification of any such certificate, authorization or permit.

          r.  Tax Status.  The Company and each of its Subsidiaries has made or
              ----------
filed all federal and state income and all other tax returns, reports and
declarations required by any jurisdiction to which it is subject (unless and
only to the extent that the Company and each of its Subsidiaries has set aside
on its books provisions reasonably adequate for the payment of all unpaid and
unreported taxes) and has paid all taxes and other governmental assessments and
charges that are material in amount, shown or determined to be due on such
returns, reports and declarations, except those being contested in good faith
and has set aside on its books provision reasonably adequate for the payment of
all taxes for periods subsequent to the periods to which such returns, reports
or declarations apply.  There are no unpaid taxes in any material amount claimed
to be due by the taxing authority of any jurisdiction, and the officers of the
Company know of no basis for any such claim.

          s.  Transactions With Affiliates.  Except as set forth in the SEC
              ----------------------------
Documents filed at least ten days prior to the date hereof, and except for
transactions which are entered into on arm's length terms pursuant to which the
Company makes payments in the ordinary course of business upon terms no less
favorable than the Company could obtain from third parties unaffiliated with the
Company, and except for grants and payments pursuant to employee benefit plans
approved by the Company's board of directors, none of the officers, directors,
or employees or controlling shareholders of the Company is presently a party to
any transaction with the Company or any of its Subsidiaries (other than for
services as employees, officers and directors), including any contract,
agreement or other arrangement providing for the furnishing of services to or
by, providing for rental of real or personal property to or from, or otherwise
requiring payments to or from any officer, director or such employee or, to the
knowledge of the Company, any corporation, partnership, trust or other entity in
which any officer, director, or any such employee has a substantial interest or
is an officer, director, trustee or partner.

          t.  Eligibility.  The Company is currently eligible to register the
              -----------
resale of the Common Shares on a registration statement on Form S-3 under the
1933 Act.

                                       10
<PAGE>

     4.   COVENANTS.
          ---------

          a.  Best Efforts.  Each party shall use its best efforts timely to
              ------------
satisfy each of the conditions to be satisfied by it as provided in Sections 6
and 7 of this Agreement.

          b.  Form D and Blue Sky.  The Company agrees to file a Form D with
              -------------------
respect to the Securities as required under Regulation D and to provide a copy
thereof to each Buyer promptly after such filing.  The Company shall, on or
before the Closing Date, take such action as the Company shall reasonably
determine is necessary in order to obtain an exemption for or to qualify the
Securities for sale to the Buyers at the Closing pursuant to this Agreement
under applicable securities or "Blue Sky" laws of the states of the United
States, and shall provide evidence of any such action so taken to the Buyers on
or prior to the Closing Date.  The Company shall make all filings and reports
relating to the offer and sale of the Securities required under applicable
securities or "Blue Sky" laws of the states of the United States following the
Closing Date.

          c.  Reporting Status.  Until the earlier of (i) the date which is one
              ----------------
year after the date as of which the Investors (as that term is defined in the
Registration Rights Agreement) may sell all of the Common Shares without
restriction pursuant to Rule 144(k) promulgated under the 1933 Act (or successor
thereto), or (ii) the date on which the Investors shall have sold all the Common
Shares and Warrant Shares (the "Registration Period"), the Company shall file
                                -------------------
all reports required to be filed with the SEC pursuant to the 1934 Act, and the
Company shall not terminate its status as an issuer required to file reports
under the 1934 Act even if the 1934 Act or the rules and regulations thereunder
would otherwise permit such termination.

          d.  [Omitted].

          e.  Right of First Refusal.  Subject to the exceptions described
              ----------------------
below, the Company and its Subsidiaries shall not negotiate or contract with any
party for any equity financing (including any debt financing with an equity
component) or issue any equity securities of the Company or any Subsidiary or
securities convertible or exchangeable into or for equity securities of the
Company or any Subsidiary (including debt securities with an equity component)
in any form ("Future Offerings") during the period beginning on the date hereof
              ----------------
and ending on, and including, the date which is 180 days after the Closing Date,
unless it shall have first delivered to each Buyer or a designee appointed by
such Buyer written notice (the "Future Offering Notice") describing the proposed
                                ----------------------
Future Offering, including the terms and conditions thereof, and providing each
Buyer an option to purchase up to its Aggregate Percentage (as defined below) of
the securities to be issued in such Future Offering, as of the date of delivery
of the Future Offering Notice, in the Future Offering (the limitations referred
to in this sentence are referred to as the "Capital Raising Limitations").  For
                                            ---------------------------
purposes of this Section 4(e), "Aggregate Percentage" at any time with respect
                                --------------------
to any Buyer shall mean the percentage obtained by dividing (i) the aggregate
number of the Common Shares initially issued at the Closing to such Buyer by
(ii) the aggregate number of the Common Shares sold to the Buyers by the Company
at the Closing in

                                       11
<PAGE>

connection with the Offering. A Buyer can exercise its option to participate in
a Future Offering by delivering written notice thereof to participate to the
Company within five (5) Business Days after receipt of a Future Offering Notice,
which notice shall state the quantity of securities being offered in the Future
Offering that such Buyer will purchase, up to its Aggregate Percentage, and that
number of securities it is willing to purchase in excess of its Aggregate
Percentage. In the event that one or more Buyers fail to elect to purchase up to
each such Buyer's Aggregate Percentage, then each Buyer which has indicated that
it is willing to purchase a number of securities in such Future Offering in
excess of its Aggregate Percentage shall be entitled to purchase its pro rata
portion (determined in the same manner as described in the preceding sentence)
of the securities in the Future Offering which one or more of the Buyers have
not elected to purchase. In the event the Buyers fail to elect to fully
participate in the Future Offering within the period described in this Section
4(e), the Company shall have 90 days thereafter to sell the securities of the
Future Offering that the Buyers did not elect to purchase, upon terms and
conditions, no more favorable to the purchasers thereof than specified in the
Future Offering Notice. In the event the Company has not sold such securities of
the Future Offering within such 90 day period, the Company shall not thereafter
issue or sell such securities without first offering such securities to the
Buyers in the manner provided in this Section 4(e). The Capital Raising
Limitations shall not apply to (i) a loan from a commercial bank which has only
an incidental equity feature or any equity line or similar transaction from any
financial institution, (ii) any transaction involving the Company's issuances of
securities (A) as consideration in a merger or consolidation, (B) in connection
with a strategic partnership or joint venture (the primary purpose of which is
not to raise equity capital), or (C) as consideration for the acquisition of a
business, product, license or other assets by the Company, (iii) the issuance of
common stock in a firm commitment, underwritten public offering, (iv) the
issuance of securities upon exercise or conversion of the Company's options,
warrants or other convertible securities outstanding as of the date hereof, (v)
the grant of additional options or warrants, or the issuance of additional
securities, under any Company stock option plan, restricted stock plan, stock
purchase plan or other plan or written compensation agreement for the benefit of
the Company's employees, directors, consultants or advisors, or (vi) the
issuance of securities pursuant to any shareholder rights plan adopted by the
Company prior to the Closing ((i) through (vi) collectively, the "Exempt
                                                                  ------
Issuances"). The Buyers shall not be required to participate or exercise their
---------
right of first refusal with respect to a particular Future Offering in order to
exercise their right of first refusal with respect to later Future Offerings.

          f.  Listing.  The Company shall, following the Closing Date and by the
              -------
ninetieth (90th) calendar day following the date hereof, secure the listing of
all of the Registrable Securities (as that term is defined in the Registration
Rights Agreement) upon each national securities exchange, automated quotation
system or bulletin board system, if any, upon which shares of the Company's
common stock are then listed (subject to official notice of issuance) and shall
maintain, so long as any other shares of common stock shall be so listed, such
listing of all Registrable Securities from time to time issuable under the terms
of the Transaction Documents.  The Company shall use its bests efforts to
maintain the Common Stock's authorization for quotation on the Nasdaq National
Market, Nasdaq Small-Cap Market, The New York Stock

                                       12
<PAGE>

Exchange, Inc. or The American Stock Exchange, Inc., (as applicable, the
"Principal Market"). Neither the Company nor any of its Subsidiaries shall take
 ----------------
any action which would be reasonably expected to result in the delisting or
suspension of Company common stock on the Principal Market. The Company shall
promptly, but in no event later than the public disclosure of such information,
provide to each Buyer copies of any notices it receives from the Principal
Market regarding the continued eligibility of Company common stock for listing
on such automated quotation system or securities exchange. The Company shall pay
all fees and expenses in connection with satisfying its obligations under this
Section 4(f).

          g.  Reservation of Shares.  The Company shall take all action
              ---------------------
necessary to at all times have authorized, and reserved for the purpose of
issuance, no less than 100% of the number of shares of Common Stock needed to
provide for the issuance of the shares of Common Stock upon exercise of all
outstanding Warrants.

          h.  [Omitted].

          i.  Limitation on Filing Registration Statements.  The Company shall
              --------------------------------------------
not file a registration statement (other than the Registration Statement (as
defined in the Registration Rights Agreement) or a registration statement on
Form S-8 or a registration statement concerning any equity line or similar
transaction from any financial institution entered into by the Company within
thirty (30) calendar days following the Closing Date) covering the sale or
resale of shares of Company common stock with the SEC during the period
beginning on the date hereof and ending on the date which is 90 days after the
Registration Statement has been declared effective by the SEC.

          j.  Independent Auditors.  The Company shall, until at least three (3)
              --------------------
years after the Closing Date, maintain as its independent auditors an accounting
firm authorized to practice before the SEC.

     5.   TRANSFER AGENT INSTRUCTIONS.
          ---------------------------

          The Company shall issue irrevocable instructions to the Transfer
Agent, and any subsequent transfer agent, substantially in the form of Exhibit B
                                                                       ---------
hereto (the "Transfer Agent Instructions") and use its best efforts, without
             ---------------------------
incurring additional fees, to obtain the Transfer Agent's agreement thereto.
Prior to registration of the Common Shares and Warrant Shares under the 1933
Act, all such certificates shall bear the restrictive legend specified in
Section 2(g) of this Agreement.  The Company warrants that no instruction other
than the Transfer Agent Instructions referred to in this Section 5, and stop
transfer instructions to give effect to Section 2(f) hereof will be given by the
Company to its Transfer Agent and that the Securities shall otherwise be freely
transferable on the books and records of the Company as and to the extent
provided in this Agreement and the Registration Rights Agreement.  Nothing in
this Section 5 shall affect in any way each Buyer's obligations and agreements
set forth in Section 2(g) to comply with all applicable prospectus delivery
requirements, if any, upon resale of the Securities.  If a Buyer

                                       13
<PAGE>

provides the Company with an opinion of counsel, in a generally acceptable form,
to the effect that a public sale, assignment or transfer of the Securities may
be made without registration under the 1933 Act or the Buyer provides the
Company with reasonable assurances that the Securities can be sold pursuant to
Rule 144 without any restriction as to the number of securities acquired as of a
particular date that can then be immediately sold, the Company shall permit the
transfer, and, promptly instruct its Transfer Agent to issue one or more
certificates in such name and in such denominations as specified by such Buyer
and without any restrictive legend. The Company acknowledges that a breach by it
of its obligations hereunder will cause irreparable harm to the Buyers by
vitiating the intent and purpose of the transaction contemplated hereby.
Accordingly, the Company acknowledges that the remedy at law for a breach of its
obligations under this Section 5 will be inadequate and agrees, in the event of
a breach or threatened breach by the Company of the provisions of this Section
5, that the Buyers shall be entitled, in addition to all other available
remedies, to an order and/or injunction restraining any breach and requiring
immediate issuance and transfer, without the necessity of showing economic loss
and without any bond or other security being required.

     6.   CONDITIONS TO THE COMPANY'S OBLIGATION TO SELL.
          ----------------------------------------------

          The obligation of the Company hereunder to issue and sell the Common
Shares and Warrants to each Buyer at the Closing is subject to the satisfaction,
at or before the Closing Date, of each of the following conditions, provided
that these conditions are for the Company's sole benefit and may be waived by
the Company at any time in its sole discretion by providing each Buyer with
prior written notice thereof:

          a.  Such Buyer shall have executed each of the Transaction Documents
to which it is a party and delivered the same to the Escrow Agent for the
transactions contemplated by this Agreement;

          b.  The representations and warranties of such Buyer shall be true and
correct in all material respects as of the date when made and as of the Closing
Date as though made at that time (except for representations and warranties that
speak as of a specific date), and such Buyer shall have performed, satisfied and
complied in all material respects with the covenants, agreements and conditions
required by this Agreement to be performed, satisfied or complied with by such
Buyer at or prior to the Closing Date; and

          c.  Such Buyer shall have delivered to the Escrow Agent such other
documents relating to the transactions contemplated by this Agreement as the
Escrow Agent may reasonably request.

                                       14
<PAGE>

     7.   CONDITIONS TO EACH BUYER'S OBLIGATION TO PURCHASE.
          -------------------------------------------------

          The obligation of each Buyer hereunder to purchase the Common Shares
and Warrants at the Closing is subject to the satisfaction, at or before the
Closing Date, of each of the following conditions, provided that these
conditions are for each Buyer's sole benefit and may be waived by such Buyer at
any time in its sole discretion by providing the Company with prior written
notice thereof:

          a.  The Company shall have executed each of the Transaction Documents
and delivered the same to the Escrow Agent;

          b.  The Company's common stock shall be authorized for quotation on
the Principal Market and trading in Company common stock shall not have been
suspended by the SEC or the Principal Market;

          c.  The representations and warranties of the Company shall be true
and correct  as of the date when made and as of the Closing Date as though made
at that time (except for representations and warranties that speak as of a
specific date) and the Company shall have performed, satisfied and complied with
the covenants, agreements and conditions required by the Transaction Documents
to be performed, satisfied or complied with by the Company at or prior to the
Closing Date;

          d.  The Company shall have delivered to the Escrow Agent the opinion
of the Company's counsel dated as of the Closing Date, in form, scope and
substance reasonably satisfactory to such Buyer and in substantially the form of
Exhibit C attached hereto;
---------

          e.  The Company shall have executed and delivered to the Escrow Agent
the Warrants and the certificates representing Common Shares (in such
denominations as such Buyer shall request) for the Common Shares being purchased
by such Buyer at the Closing;

          f.  The Transfer Agent Instructions, in the form of Exhibit B attached
                                                              ---------
hereto, shall have been executed by the Company and delivered to the Company's
transfer agent and a copy of the Company executed Transfer Agent Instructions
shall have been delivered to the Escrow Agent;

          g.  The Company shall have made all filings, other than those
contemplated by the Registration Rights Agreement, under all applicable federal
and state securities laws necessary to consummate the issuance of the Securities
pursuant to this Agreement in compliance with such laws;

          h.  The Company shall have delivered to the Escrow Agent such other
documents relating to the transactions contemplated by this Agreement as the
Escrow Agent may reasonably request;

                                       15
<PAGE>

          i.  Subject to Section 11(l) below, at Closing, the Company shall
reimburse the Buyers for the Buyers' attorneys' fees and expenses (in an amount
not to exceed $10,000.00) incurred by the Buyers concerning the due diligence
review of the contemplated transactions and the Company, and the negotiation and
preparation of the Transaction Documents and the consummation of the
transactions contemplated thereby; provided, however, that the Buyers may elect,
                                   --------
in their sole discretion, to effect such reimbursement by deducting such costs
and expenses from the Purchase Price prior to making such payment to the
Company; and

          j.  The Company and Cranshire Capital, L.P., Keyway Investments Ltd
and Lionhart Investments Ltd. (the "1999 Warrant Holders") shall enter into
                                    --------------------
letter agreements whereby those certain warrants (the "1999 Warrants"),
                                                       -------------
purchased by the 1999 Warrant Holders in the June 1999 private placement and
December 1999 private placement by the Company of its common stock and warrants
to the 1999 Warrant Holders, shall be amended as follows: the 1999 Warrants
shall have (i) an exercise price equal to the average of the closing bid prices
for the Company's Common Stock (as quoted on the Principal Market) for the five
(5) Business Days immediately preceding the Closing Date of this Agreement, (ii)
an expiration date of December 10, 2003 and (iii) the same limitations on
beneficial ownership as set forth in Section 2(e) of the Warrants purchased
pursuant to this Agreement.

     8.   INDEMNIFICATION.
          ---------------

          In consideration of each Buyer's execution and delivery of the
Transaction Documents and acquiring the Securities thereunder and in addition to
all of the Company's other obligations under the Transaction Documents, the
Company shall defend, protect, indemnify and hold harmless each Buyer and each
other holder of the Securities and all of their stockholders, officers,
directors, employees and direct or indirect investors and any of the foregoing
person's agents or other representatives (including, without limitation, those
retained in connection with the transactions contemplated by this Agreement)
(collectively, the "Indemnitees") from and against any and all actions, causes
                    -----------
of action, suits, claims, losses, costs, penalties, fees, liabilities and
damages, and expenses in connection therewith (irrespective of whether any such
Indemnitee is a party to the action for which indemnification hereunder is
sought), and including reasonable attorneys' fees and disbursements (the
"Indemnified Liabilities"), incurred by any Indemnitee as a result of, or
 -----------------------
arising out of, or relating to (a) any misrepresentation or breach of any
representation or warranty made by the Company in the Transaction Documents or
any other certificate, instrument or document contemplated hereby or thereby,
(b) any breach of any covenant, agreement or obligation of the Company contained
in the Transaction Documents or any other certificate, instrument or document
contemplated hereby or thereby, or (c) any transaction financed or to be
financed in whole or in part, directly or indirectly, with the proceeds of the
issuance of the Securities.  To the extent that the foregoing undertaking by the
Company may be unenforceable for any reason, the Company shall make the maximum
contribution to the payment and satisfaction of each of the Indemnified
Liabilities which is permissible under applicable law.

                                       16
<PAGE>

     9.   ANTI-DILUTION ADJUSTMENTS.
          -------------------------

          a.  [Omitted].

          b.  Issuance of Common Stock or Rights to Purchase Company Common
              -------------------------------------------------------------
Stock Below Offering Price. Prior to the earlier of 150 days after the Closing
--------------------------
Date or the effective date of the Registration Statement (as described in the
Registration Rights Agreement) covering the resale of the Common Shares, if the
Company shall, at any time or from time to time, issue Company common stock or
instruments convertible or exercisable into Company common stock (other than an
Exempt Issuance (as defined in Section 4(e) above)) at a price per common stock
share, a  conversion price per common stock share or an exercise price per
common stock share less than the Purchase Price Per Unit (such lesser price
shall be deemed the "Differential Price"), then the Company shall issue
                     ------------------
additional shares of Company common stock to the Buyers equal to the Share
Differential Amount.  The Share Differential Amount shall equal the sum of (i)
the amount determined by dividing the Differential Price into the Buyers'
aggregate Purchase Price, less (ii) the number of Common Shares purchased by the
Buyer at the Closing.  Any such additional shares of common stock after issuance
shall be deemed to be Common Shares for purposes of this Agreement and shall
have the registration rights set forth in the Registration Rights Agreement.

     10.  [Omitted.]

     11.  GOVERNING LAW; MISCELLANEOUS.
          ----------------------------

          a.  Governing Law; Jurisdiction; Jury Trial.  This Agreement shall be
              ---------------------------------------
governed by and construed in all respects by the internal laws of the State of
Illinois (except for the proper application of the United States federal
securities laws), without giving effect to any choice of law or conflict of law
provision or rule (whether of the State of Illinois or any other jurisdictions)
that would cause the application of the laws of any jurisdictions other than the
State of Illinois.  Each party hereby irrevocably submits to the non-exclusive
jurisdiction of the state and federal courts sitting in the City of Chicago.
EACH PARTY HEREBY IRREVOCABLY WAIVES ANY RIGHT IT MAY HAVE, AND AGREES NOT TO
REQUEST, A JURY TRIAL FOR THE ADJUDICATION OF ANY DISPUTE HEREUNDER OR IN
CONNECTION HEREWITH OR ARISING OUT OF THIS AGREEMENT OR ANY TRANSACTION
CONTEMPLATED HEREBY.

          b.  Counterparts.  This Agreement may be executed in two or more
              ------------
identical counterparts, all of which shall be considered one and the same
agreement and shall become effective when counterparts have been signed by each
party and delivered to the other party; provided that a facsimile signature
shall be considered due execution and shall be binding upon the signatory
thereto with the same force and effect as if the signature were an original, not
a facsimile signature.

                                       17
<PAGE>

          c.  Headings.  The headings of this Agreement are for convenience of
              --------
reference and shall not form part of, or affect the interpretation of, this
Agreement.

          d.  Severability.  If any provision of this Agreement shall be invalid
              ------------
or unenforceable in any jurisdiction, such invalidity or unenforceability shall
not affect the validity or enforceability of the remainder of this Agreement in
that jurisdiction or the validity or enforceability of any provision of this
Agreement in any other jurisdiction.

          e.  Entire Agreement; Amendments.  This Agreement supersedes all other
              ----------------------------
prior oral or written agreements between the Buyers, the Company, their
affiliates and persons acting on their behalf with respect to the matters
discussed herein, and this Agreement and the instruments referenced herein
contain the entire understanding of the parties with respect to the matters
covered herein and therein and, except as specifically set forth herein or
therein, neither the Company nor any Buyer makes any representation, warranty,
covenant or undertaking with respect to such matters.  No provision of this
Agreement may be amended other than by an instrument in writing signed by the
Company and the Buyers owning at such time two-thirds of the Common Shares
purchased pursuant to this Agreement, and no provision hereof may be waived
other than by an instrument in writing signed by the party against whom
enforcement is sought.

          f.  Notices.  Any notices, consents, waivers or other communications
              -------
required or permitted to be given under the terms of this Agreement must be in
writing and will be deemed to have been delivered:  (i) upon receipt, when
delivered personally; (ii) upon receipt, when sent by facsimile (provided
confirmation of transmission is mechanically  or electronically generated and
kept on file by the sending party); or (iii) one Business Day after deposit with
a nationally recognized overnight delivery service, in each case properly
addressed to the party to receive the same.  The addresses and facsimile numbers
for such communications shall be:

     If to the Company:

          Data Race Inc.
          6509 Windcrest Drive, Suite 120
          Plano, Texas 75024
          Telephone: (972) 205-4005
          Facsimile: (210) 558-0356
          Attention: Jim Scogin


                                       18
<PAGE>

     With a copy to:

          Jackson Walker LLP
          901 Main Street, Suite 6000
          Dallas, Texas 75202
          Telephone: (214) 953 - 5801
          Facsimile: (214) 953 - 5736
          Attention: Jim Ryan, Esq.

     If to the Transfer Agent:

          Chase Mellon Shareholder Services, L.L.P.
          2323 Bryan St., Suite 2300
          Dallas, TX 75201
          Telephone: (214) 965-2236
          Facsimile: (214) 965-2233
          Attention: Mona Vorhees

If to a Buyer, to it at the address and facsimile number set forth on Schedule 1
                                                                      ----------
with copies to such Buyer's representatives as set forth on Schedule 1, or at
                                                            ----------
such other address and/or facsimile number and/or to the attention of such other
person as the recipient party has specified by written notice given to each
other party five days prior to the effectiveness of such change.

          g.  Successors and Assigns.  This Agreement shall be binding upon and
              ----------------------
inure to the benefit of the parties and their respective successors and assigns,
including any purchasers of the Common Shares from Buyers in a transaction not
involving a public offering.  The Company shall not assign this Agreement or any
rights or obligations hereunder without the prior written consent of the Buyers
owning at such time two-thirds of the Common Shares purchased pursuant to this
Agreement.  A Buyer may assign some or all of its rights hereunder without the
consent of the Company, provided, however, that any such assignment shall not
release such Buyer from its obligations hereunder unless such obligations are
assumed by such assignee and the Company has consented to such assignment and
assumption.

          h.  No Third Party Beneficiaries.  This Agreement is intended for the
              ----------------------------
benefit of the parties hereto and their respective permitted successors and
assigns, and is not for the benefit of, nor may any provision hereof be enforced
by, any other person.

          i.  Survival.  Unless this Agreement is terminated under Section
              --------
11(l), the agreements and covenants set forth in Sections 4, 5 and 11, the
indemnification provisions set forth in Section 8, the anti-dilution adjustments
and provisions set forth in Section 9 and the liquidated damage provisions set
forth in Section 10 shall survive the Closing.  Each Buyer shall be responsible
only for its own representations, warranties, agreements and covenants
hereunder.

                                       19
<PAGE>

          j.  [Omitted].

          k.  Further Assurances.  Each party shall do and perform, or cause to
              ------------------
be done and performed, all such further acts and things, and shall execute and
deliver all such other agreements, certificates, instruments and documents, as
the other party may reasonably request in order to carry out the intent and
accomplish the purposes of this Agreement and the consummation of the
transactions contemplated hereby.

          l.  Termination.  In the event that the Closing shall not have
              -----------
occurred with respect to a Buyer on or before three (3) Business Days from the
date hereof due to the Company's or such Buyer's failure to satisfy the
conditions set forth in Sections 6 and 7 above (and the nonbreaching party's
failure to waive such unsatisfied condition(s)), the nonbreaching party shall
have the option to terminate this Agreement with respect to such breaching party
at the close of business on such date without liability of any party to any
other party; provided, however, that if this Agreement is terminated pursuant to
this Section 11(l), the Company shall remain obligated to reimburse the
nonbreaching Buyers for the expenses described in Section 7(i) above.

          m.  Placement Agent.  The Company acknowledges that it has not engaged
              ---------------
any party, person or entity as placement agent in connection with the sale of
the Common Shares and Warrants.  The Company shall be responsible for the
payment of any placement agent's fees or broker's commissions relating to or
arising out of the transactions contemplated hereby.  The Company shall pay, and
hold each Buyer harmless against, any liability, loss or expense (including,
without limitation, attorneys' fees and out of pocket expenses) arising in
connection with any such claim.

          n.  No Strict Construction.  The language used in this Agreement will
              ----------------------
be deemed to be the language chosen by the parties to express their mutual
intent, and no rules of strict construction will be applied against any party.

          o.  Remedies.  Each Buyer and each holder of the Securities shall have
              --------
all rights and remedies set forth in the Transaction Documents and all rights
and remedies which such holders have been granted at any time under any other
agreement or contract and all of the rights which such holders have under any
law.  Any Person having any rights under any provision of this Agreement shall
be entitled to enforce such rights specifically (without posting a bond or other
security), to recover damages by reason of any breach of any provision of this
Agreement and to exercise all other rights granted by law.

          p.  Payment Set Aside.  To the extent that the Company makes a payment
              -----------------
or payments to the Buyers hereunder or pursuant to the Transaction Documents or
the Buyers enforce or exercise their rights hereunder or thereunder, and such
payment or payments or the proceeds of such enforcement or exercise or any part
thereof are subsequently invalidated, declared to be fraudulent or preferential,
set aside, recovered from, disgorged by or are required to be refunded, repaid
or otherwise restored to the Company, a trustee, receiver or any other person
under any

                                       20
<PAGE>

law (including, without limitation, any bankruptcy law, state or federal law,
common law or equitable cause of action), then to the extent of any such
restoration the obligation or part thereof originally intended to be satisfied
shall be revived and continued in full force and effect as if such payment had
not been made or such enforcement or setoff had not occurred.



                           [Signature Page Follows]

                                       21
<PAGE>

     IN WITNESS WHEREOF, the Buyers and the Company have caused this Securities
Purchase Agreement to be duly executed as of the date first written above.


COMPANY:                                BUYERS:

DATA RACE INC.                          PROTIUS OVERSEAS LIMITED

By: /s/ James G. Scogin                 By: /s/ Gordon J. Mundy
   ------------------------------          ---------------------------

Name: James G. Scogin                   Name: Gordon J. Mundy
     ----------------------------            -------------------------

Title: Senior Vice President, CFO       Title: Director
      ---------------------------             ------------------------

                                        LIONHART INVESTMENTS LTD.

                                        By: /s/ Walter Reich
                                           ---------------------------

                                        Name: Walter Reich
                                             -------------------------

                                        Title: Director
                                              ------------------------

                                        KEYWAY INVESTMENTS LTD.

                                        By: /s/ Paul Moore
                                           ---------------------------

                                        Name: Paul Moore
                                             -------------------------

                                        Title: Director
                                              ------------------------

<PAGE>

<TABLE>
<CAPTION>
                                                   SCHEDULE 1: LIST OF INVESTORS
                                                   -----------------------------

----------------------------------------------------------------------------------------------------------------------------------
    Investor        Contact Information    Purchase Price    Number of       Number of              Legal Representative
                                                           Common Shares   Warrant Shares
----------------------------------------------------------------------------------------------------------------------------------
<S>               <C>                      <C>             <C>             <C>                 <C>
Protius           PO Box 175                 $1,200,000      1,828,572          182,857        Strategic Investment  Counsel, LLC
 Overseas         12-14 Finch Road                                                             666 Dundee Rd., Ste. 1901
 Limited          Douglas, Isle of Man                                                         Northbrook, IL 60062
                  United Kingdom                                                               Attn: Anthony J. Ribaudo, Esq.
                  IM99 1TT                                                                     (p)847/564-9293
                  Attn: Gordon J. Mundy                                                        (f)847/564-5497
                  (p) 01624-646700
                  (f) 01624-520588
----------------------------------------------------------------------------------------------------------------------------------
Keyway            19 Mount Havelock          $   50,000         76,191            7,619
 Investments      Douglas, Isle of Man
 Ltd.             United Kingdom
                  1M1 2QG
                  Attn: Martin Peters
                  (p) 011-44-171-323-2131
                  (f) 011-44-171-323-0773
----------------------------------------------------------------------------------------------------------------------------------
Lionhart          19 Camp Rd.                $  750,000      1,142,857          114,286
 Investments      Heston Court
 Ltd.             Wimbledon, London
                  United Kingdom
                  SW194UW
                  Attn: Terry Duffy
                  (p) 011-44-181-947-6934
                  (f) 011-44-181-971-0212
----------------------------------------------------------------------------------------------------------------------------------
TOTAL                                        $2,000,000      3,047,620          304,762
----------------------------------------------------------------------------------------------------------------------------------
</TABLE>
<PAGE>

                                 Schedule 3(e)
                                 -------------

     The Company covenants that the Company shall file, within seven Business
Days after the Closing Date of this Offering, a Form 8-K which describes the
material terms of the Offering and, as exhibits to such 8-K, will include
descriptions and/or copies of the foregoing plans.  The representations and
warranties of the Company made pursuant to the Securities Purchase Agreement
shall be qualified by the disclosure contained in this Schedule 3(e).
<PAGE>

                                 Schedule 3(g)
                                 -------------

     The Company represents that it has received letters dated October 13, 2000,
November 13, 2000, December 20, 2000, January 11, 2001 and February 12, 2001
from Robert Plotkin indicating possible litigation against the Company by such
party; such letters have been provided by the Company to counsel to the Buyers
prior to the Closing Date.
<PAGE>

                                   EXHIBITS
                                   --------

Exhibit A      Form of Registration Rights Agreement
Exhibit B      Form of Transfer Agent Instructions
Exhibit C      Form of Company Counsel Opinion
Exhibit D      Form of Warrant



                                   SCHEDULES
                                   ---------

Schedule 3(e)  SEC Documents; Financial Statements
Schedule 3(g)  Absence of Litigation