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                                                                   EXHIBIT 10.55
 
                            EQUALNET HOLDING CORP.

                            Stock Purchase Warrant
                                (Agent Warrant)

     This Stock Purchase Warrant ("Warrant"), issued this 27th day of June,
1998, by EqualNet Holding Corp., a Texas corporation (the "Company"), to Pacific
Global Networks, Inc. (the "Agent").

                                  WITNESSETH:
                                  -----------

     1. ISSUANCE OF WARRANT; TERM.

         (a) For and in consideration of the sum of $10.00 and other good and
valuable consideration, including services rendered and to be rendered as
provided herein, the receipt and sufficiency of which are hereby acknowledged,
the Company hereby grants to the Agent, subject to the provisions hereinafter
set forth, the right to purchase up to 1,066,665

         (b) shares (the "Shares") of Common Stock, $.01 par value, of the
Company (the "Common Stock").

         (b) This Warrant expires on the fifth anniversary of the date hereof
and shall not be exercisable after the fifth anniversary of the date hereof.

         (c) This Warrant shall be exercisable only with respect to Shares in
which the Agent has become vested in accordance with the provisions of Section 2
("Vested Shares"). This Warrant shall be exercisable with respect to Vested
Shares only on or before the first anniversary of the date such Shares become
Vested Shares in accordance with the provisions of Section 2.

     2.   VESTING. Shares shall become Vested Shares in connection with the
telecommunications business of the Company generated by the Agent as follows:

          (a)  Blocks of Orders and Blocks of Shares.

               (i) In the first month (the "First Block Month") as the Agent has
submitted to the Company customer orders (the "First Block of Orders")
aggregating a number of Average Daily Commissionable Minutes (as defined below)
for such month equal to or exceeding 4,444,444 (the "Threshold Amount"), 355,000
of the Shares shall be designated as the "First Block of Shares"; provided that
Agent may postpone the designation of the First Block Month as allowed in
provision 2.(a)(viii) hereof, and provided further that if the Closing price per
share of the Common Stock as reported by The NASDAQ Stock Market, Inc. (or such
other national exchange or quotation system on which the Common Stock is then
listed or quoted) (such price on any trading day being the "Closing Price") on
the last trading day of the month that would otherwise be

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designated the First Block Month is less than $4.00, then the First Block
Month (and the designation of the First Block of Shares) shall be postponed
until after the Closing Price on any trading day equals or exceeds $4.00.

         (ii) In the first month (the "Second Block Month") as the Agent has
submitted to the Company customer orders (the "Second Block of Orders") such
that orders, excluding the First Block of Orders, aggregate a number of Average
Daily Commissionable Minutes for such month equal to or exceeding the Threshold
Amount, 355,555 of the Shares shall be designated as the "Second Block of
Shares"; provided that Agent may postpone the designation of the Second Block
Month as allowed in provision 2.(a)(viii) hereof, and provided further that if
the Closing Price on the last trading day of the month that would otherwise be
designated the Second Block Month is less than $7.00, then the Second Block
Month (and the designation of the Second Block of Shares) shall be postponed
until after the Closing Price on any trading day equals or exceeds $7.00.

         (iii) In the first month (the "Third Block Month") as the Agent has
submitted to the Company customer orders (the "Third Block of Orders") such that
orders, excluding the First Block of Orders and the Second Block of Orders,
aggregate a number of Average Daily Commissionable Minutes for such month equal
to or exceeding the Threshold Amount, 355,555 of the Shares shall be designated
as the "Third Block of Shares"; provided that Agent may postpone the designation
of the Third Block Month as allowed in provision 2.(a)(viii) hereof, and
provided further that if the Closing Price on the last trading day of the month
that would otherwise be designated the Third Block Month is less than $9.00,
then the Third Block Month (and the designation of the Third Block of Shares)
shall be postponed until after the Closing Price on any trading day equals or
exceeds $9.00.

         (iv) No customer shall be included in more than one Block of Orders.

         (v) If the First Block Month does not occur on or before the first
anniversary of the date hereof, this Warrant shall expire and no Shares shall be
exercisable hereunder.

         (vi) If the Second Block Month does not occur within sixteen months of
the date hereof, then no Shares shall be designated as the Second Block of
Shares or the Third Block of Shares, and this Warrant will not be exercisable
other than for the First Block of Shares, subject to vesting as provided below.

        (vii) If the Third Block Month does not occur within sixteen months of
the date hereof, then no Shares shall be designated as the Third Block of
Shares, and this Warrant will not be exercisable other than for the First Block
of Shares or the Second Block of Shares, subject to vesting as provided below.

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         (viii) Agent may, by written designation prior to starting to submit
orders for the Second Block Month, continue to submit additional customer orders
that will be included in the First Block Month for the purpose of offsetting any
attrition that may be experienced during the vesting period. In the event Agent
elects to submit such additional customers orders, all such additional customer
orders will be included in the First Block Month until written notice is
received from Agent to begin the Second Block Month. Similarly, after completion
of the First Block Month, Agent may, by written designation prior to starting to
submit orders for the Third Block Month, continue to submit additional customer
orders that will be included in the Second Block Month for the purpose of
offsetting any attrition that may be experienced during the vesting period. In
the event Agent elects to submit such additional customers orders, all such
additional customer orders will be included in the Second Block Month until
written notice is received from Agent to begin the Third Block Month. Similarly,
after completion of the Second Block Month, Agent may, by written designation
prior to the end of sixteen months of the date hereof, continue to submit
additional customer orders that will be included in the Third Block Month for
the purpose of offsetting any attrition that may be experienced during the
vesting period for the Third Block Month.

     (b)  Definitions. For purposes of this Section 2:

         (i) The term "Average Daily Commissionable Minutes", for any given
month, shall mean the quotient of (A) the number of Commissionable Minutes in a
given month as reflected on the Company's Monthly Commission Report divided by
(B) the number of Business Days in that month, rounded to the nearest whole
number;

         (ii) The term "Business Day" shall mean any day that is not a Saturday,
Sunday or day on which banks in the state of Texas are required or authorized by
law to be closed; and

         (iii) The term "Commissionable Minutes" shall mean minutes of
telecommunications usage relating to net billed direct domestic and
international switched calls that may be billed by the Company.

     (c)  Attrition Calculation/Vesting.

         (i) Within 30 days after the end of the fourth month following the
First Block Month (the "First Calculation Date"), the Company shall calculate
the ratio (the "First Vesting Ratio") of (A) the number of Average Daily
Commissionable Minutes in the third month following the First Block Month
represented by the customers included in the First Block of Orders to (B) the
Threshold Amount. If the First Vesting Ratio is equal to or greater than one,
then the First Block of Shares shall become Vested Shares on the First
Calculation Date. If the First Vesting Ratio is less than one, then a number of
Shares equal to the product of (X) the First Block of Shares multiplied by (Y)
the First Vesting Ratio, rounded to the nearest whole Share shall become Vested
Shares on the First Calculation Date.

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         (ii) Within 30 days after the end of the fourth month following the
Second Block Month (the "Second Calculation Date"), the Company shall calculate
the ratio (the "Second Vesting Ratio") of (A) the number of Average Daily
Commissionable Minutes in the third month following the Second Block Month
represented by the customers included in the Second Block of Orders to (B) the
Threshold Amount. If the Second Vesting Ratio is equal to or greater than one,
then the Second Block of Shares shall become Vested Shares on the Second
Calculation Date. If the Second Vesting Ratio is less than one, then a number of
Shares equal to the product of (X) the Second Block of Shares multiplied by (Y)
the Second Vesting Ratio, rounded to the nearest whole Share shall become Vested
Shares on the Second Calculation Date.

         (iii) Within 30 days after the end of the fourth month following the
Third Block Month (the "Third Calculation Date"), the Company shall calculate
the ratio (the "Third Vesting Ratio") of (A) the number of Average Daily
Commissionable Minutes in the third month following the Third Block Month
represented by the customers included in the Third Block of Orders to (B) the
Threshold Amount. If the Third Vesting Ratio is equal to or greater than one,
then the Third Book of Shares shall become Vested Shares on the Third
Calculation Date. If the Third Vesting Ratio is less than one, then a number of
Shares equal to the product of (X) the Third Block of Shares multiplied by (Y)
the Third Vesting Ratio, rounded to the nearest whole Share shall become Vested
Shares on the Third Calculation Date.

     (d) Compliance With Authorized Agent Contract. No Shares shall become
Vested Shares at any time that the Agent is not in compliance with all of the
terms and conditions of the Authorized Agent Contract, dated effective January
23, 1998, between the Agent and the Company, as the same may be amended from
time to time. Notwithstanding the foregoing, the Company may not terminate
Agent's right to submit new customer orders prior to the closing of the First
Block of Orders.

   3.   EXERCISE PRICE.

     (a) The exercise price per share for which all or any of the Shares
included in the First Block of Shares may be purchased pursuant to the terms of
this Warrant shall be $2.00.

     (b) The exercise price per share for which all or any of the Shares
included in the Second Block of Shares may be purchased pursuant to the terms of
this Warrant shall be equal to the Closing Price on the last trading day of the
First Block Month.

     (c) The exercise price per share for which all or any of the, Shares
included in the Third Block of Shares may be purchased pursuant to the terms of
this Warrant shall be equal to the Closing Price on the last trading day of the
Second Block Month.

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     (d) Each such exercise price is hereinafter referred to as an "Exercise
Price".

   4.   EXERCISE.

     (a) This Warrant may be exercised by the Agent for the purchase of any of
the Shares for which this Warrant is then exercisable pursuant to Section l(b)
hereof in whole or in part, upon delivery of written notice of intent to the
Company at the following address: 1250 Wood Branch Park Drive, Houston, Texas
77079 or such other address as the Company shall designate in written notice to
the Agent, together with this Warrant and payment (in the manner described in
Section 3(b) below) for the aggregate Exercise Price of the Shares so purchased.
Upon exercise of this Warrant as aforesaid, the Company shall as promptly as
practicable execute and deliver to the Agent a certificate or certificates for
the total number of whole Shares for which this Warrant is being exercised in
such names and denominations as are requested by the Agent. If this Warrant
shall be exercised with respect to less than all of the Shares, the Agent shall
be entitled to receive a new Warrant covering the number of Shares in respect of
which this Warrant shall not have been exercised, which new Warrant shall in all
other respects be identical to this Warrant.

     (b) Payment for the Shares to be purchased upon exercise of this Warrant
may be made (i) by the delivery of a certified or cashier's check payable to the
Company for the aggregate Exercise Price of the Shares to be purchased of (ii)
by delivery of this Warrant and a notice that the Agent wished to make an
exercise of Warrants for "Net Warrant Shares". The number of Net Warrant Shares
to be issued in the case of (b)(ii) shall be determined as described by the
following formula: Net Warrant Shares = [WS x (MP-EP)]/MP. "WS" is the number of
Warrant Shares issuable upon exercise of the Warrants or portion of Warrants
being exercised. "MP" is the closing Market Price of the Common Stock on the
last trading day preceding the date request to exercise the Warrants is received
by the Company, as reported by The Nasdaq Stock Market or such other exchange or
quotation system on which the Common Stock may be listed or quoted. "EP" shall
mean the Exercise Price of the Shares to be purchased.

   (5) COVENANTS AND CONDITIONS. The above Provisions are subject to the
following:

         (a) Neither this Warrant nor the Shares have been registered under the
Securities Act of 1933, as amended (the "Act"), or any state securities laws
("Blue Sky Laws"). This Warrant and the Shares have been acquired for investment
purposes and not with a view to distribution or resale and the Shares may not be
made subject to a security interest, pledged, hypothecated, sold or otherwise
transferred without an effective registration statement therefor under the Act
and such applicable Blue Sky Laws or an opinion of counsel (which opinion and
counsel rendering same shall be reasonably acceptable to the Company) that
registration is not required under the Act and under any

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applicable Blue Sky Laws. The certificates representing the Shares shall bear
substantially the following legend:

     THE SHARES OF STOCK REPRESENTED BY THIS CERTIFCATE HAVE NOT BEEN REGISTERED
     UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE "ACT"), OR ANY APPLICABLE
     STATE SECURITIES LAWS, BUT HAVE BEEN ACQUIRED FOR THE PRIVATE INVESTMENT OF
     THE HOLDER HEREOF AND MAY NOT BE OFFERED, SOLD OR TRANSFERRED UNTIL A
     REGISTRATION STATEMENT UNDER THE ACT OR SUCH APPLICABLE STATE SECURITIES
     LAWS SHALL HAVE BECOME EFFECTIVE WITH REGARD THERETO, OR IN THE OPINION OF
     COUNSEL (WHOSE OPINION AND COUNSEL SHALL BE REASONABLY ACCEPTABLE TO THE
     COMPANY) REGISTRATION UNDER THE ACT OR SUCH APPLICABLE STATE SECURITIES
     LAWS IS NOT REQUIRED IN CONNECTION WITH SUCH PROPOSED OFFER, SALE OR
     TRANSFER.

Other legends as required by applicable federal and state laws may be placed on
such certificates. The Agent and the Company agree to execute such documents and
instruments as counsel for the Company reasonably deems necessary to effect
compliance of the issuance of this Warrant and any Shares issued upon exercise
hereof with applicable federal and state securities laws. The Agent agrees that
the Company may decline to permit a transfer of this Warrant if the proposed
transferee does not meet then applicable qualifications for investors in
securities offerings exempt from registration.

     (b) The Company covenants and agrees that all Shares which may be issued
upon exercise of this Warrant will, upon issuance and payment therefor, be
legally and validly issued and outstanding, fully paid and nonassessable. The
Company shall at all times, commencing on the date this Warrant shall become
exercisable, reserve and keep available for issuance upon the exercise of this
Warrant such number of authorized but unissued shares of Common Stock as will be
sufficient to permit the exercise in full of the Warrant.

     6. WARRANT HOLDER NOT STOCKHOLDER. This Warrant does not confer upon the
Agent any right whatsoever as a stockholder of the Company.

     7. ANTI-DILUTION. If at any time or from time to time after the date of
this Warrant, all of the holders of Common Stock of the Company shall have
received or shall have become legally entitled to receive:

         (i) other or additional stock or other securities or property (other
than cash) by way of a dividend or other distribution; or

         (ii) other or additional (or less) stock or other securities or
property (including cash) by way of stock-split, spin-off, split-up,
reclassification, combination of shares or similar corporate rearrangements (but
not including any cash dividends),

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then and in each such case the Agent, upon the exercise hereof as provided in
Section 3, shall be entitled to receive, in lieu of (or in addition to, as the
case may be) the Shares theretofore receivable upon the exercise of this
Warrant, the amount of stock and other securities and property (including cash
in the case referred to in clause (ii) above) which the Agent would have held on
the date of such exercise if on the date of such conversion, dividend,
distribution, corporate rearrangement or such other event as described in clause
(ii) above the Agent had been the holder of record of the number of Shares.
receivable upon exercise of this Warrant and had thereafter, during the period
from the date thereof to and including the date of such exercise, obtained such
Shares and all other or additional (or less) stock and other securities and
property (including cash in the case referred to in clause (ii) above)
receivable by the Agent as aforesaid during such period.

     8. NOTICES. All notices, requests, offers, elections and other
communications under this Warrant shall be in writing and shall be deemed to
have been given at the time when deposited in the United States mail at a
general or branch post office, postage prepaid, registered or certified mail
(return receipt requested), and addressed to the respective parties at the
addresses stated below or to such other changed addresses as the parties may
have fixed by notice; provided, however, that any notice of change of address
shall be effective only upon receipt.

     Notices to the Company shall be addressed to:

             EqualNet Holding Corp.
             1250 Wood Branch Park Drive
             Houston, Texas 77079
             Attn: General Counsel
             Telephone: (281) 529-4648
             Facsimile: (281) 529-4686

     With a copy to:

             Fulbright & Jaworski, L.L.P.
             1301 McKinney, Suite 5100
             Houston, Texas 77010
             Attn: Robert F. Gray, Jr.
             Telephone: (713) 651-5566
             Facsimile: (713) 651-5246

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Notices addressed to the Agent shall be addressed to:

             Pacific Global Network, Inc.
             Attention: Sam Shorez, President
             4241 Jutland Drive, Suite #100-B
             San Diego, California 92117-3654

     IN WITNESSS WBEREOF, the Company has caused this Stock Purchase Warrant to
be issued an delivered by its duly authorized officer as of the date first above
written.

                                             EQUALNET HOLDING CORP.

                                             BY: /s/ Robert H. Turner
                                                 ----------------------
                                             Name: Robert H. Turner
                                                   --------------------
                                             Title: Chief Exec. Officer
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