Document:

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                                                                   Exhibit 10.35
                                 AMENDMENT TO
                 BRAND, TECHNOLOGY AND CO-MARKETING AGREEMENT

     This Amendment to Brand, Technology and Co-Marketing Agreement
("Amendment") is made and entered into this 7th day of November, 2000
("Effective Date") by and between Genuity Solutions Inc. ("Genuity"), TELUS
Corporation ("TELUS") and Genuity Inc., acting as guarantor of the obligations
of Genuity.

     WHEREAS, the parties entered into a Brand, Technology and Co-Marketing
Agreement dated June 30, 2000 (the "Agreement"); and

     WHEREAS, a condition subsequent of the Agreement is the conclusion by the
parties of a definitive amendment to the Agreement covering the issues outlined
in Section 17 of the Agreement; and

     WHEREAS, TELUS and GTE Corporation ("GTE") entered into a Software and
Related Technology and Services Agreement made as of February 1, 1999 (the "GTE
Agreement"); and

     WHEREAS, the parties have reached agreement on such issues and certain
other matters and now wish to memorialize their agreement;

     NOW, THEREFORE, in consideration of the mutual promises and covenants
contained herein, the parties hereby agree as follows:

1.  Payments
    --------

1.1 Genuity has advised TELUS that a portion of each payment made or to be made
    by TELUS to GTE under the terms of the GTE Agreement is for the benefit of
    Genuity. In the event that GTE fails to remit to Genuity its portion of any
    payment made by TELUS, then TELUS shall have the right but not the
    obligation to pay such amount directly to Genuity, provided that Genuity
    shall have first notified TELUS in writing of the amount that GTE failed to
    remit to Genuity and the time period during which TELUS can make payment in
    lieu of GTE.

1.2 TELUS acknowledges and agrees that no dispute between GTE and TELUS relating
    to the GTE Agreement is intended to adversely impact Genuity's rights under
    the Agreement, including Genuity's right to receive compensation for the
    license of its trademarks, software and know-how. For the avoidance of
    doubt, TELUS shall not withhold payments to GTE which are for the benefit of
    Genuity where there is no outstanding material breach of the Agreement by
    Genuity.

                                       1
<PAGE>

1.3 Genuity acknowledges and agrees that no dispute between GTE and its
    Affiliates (including Verizon Communications Inc. ("Verizon")) and Genuity
    is intended to adversely impact TELUS' rights under the Agreement, including
    TELUS' exclusive license of the trademarks, software and know-how of Genuity
    and its Affiliates. For the avoidance of doubt, notwithstanding any non-
    payment by GTE or Verizon to Genuity or any other breach or dispute between
    them or their Affiliates, Genuity and its Affiliates shall not withhold
    performance under the Agreement where there is no outstanding material
    breach of the Agreement by TELUS.

2.  Preferred Supplier
    ------------------

2.1 "IP Services" and "Non-IP Services" shall have the meaning set forth in
    Exhibit A to this Amendment.

2.2 TELUS has obtained an agreement from GTE to waive its right under the
    Definitive Agreement to be the preferred supplier to TELUS of IP Services in
    the United States, for the duration of the Agreement but in no event after
    the termination of the GTE-Genuity Agreement (defined below), and if the
    Agreement were terminated before June 30, 2005, then for a further period of
    six months following its termination but in no event subsequent to June 30,
    2005, but such waiver is only to permit TELUS to purchase IP Services in the
    United States from Genuity Inc. and those Affiliates Controlled by it for as
    long as such Control exists (collectively, the "Genuity Companies").
    Accordingly, Genuity hereby waives any right to be the preferred supplier to
    TELUS of IP Services in the United States under Section 15 of the Agreement
    to the extent that such right has not been waived by GTE under the GTE
    Agreement as amended by an Amending Agreement dated November __, 2000, as
    stated in this Section 2.2, only if TELUS is negotiating to purchase such
    services from GTE, Verizon or any of their Affiliates. In the event that
    both GTE and Verizon and their Affiliates are unable to address a TELUS'
    requirement for an IP Service in the United States, then TELUS shall again
    comply with Section 15 of the Agreement. Genuity hereby further waives its
    right under Section 15 of the Agreement to be the preferred supplier to
    TELUS of Non-IP Services in the United States only if TELUS is negotiating
    to purchase such services from GTE, Verizon or any of their Affiliates. In
    the event that both GTE and Verizon and their Affiliates are unable to
    address a TELUS' requirement for a Non-IP Service in the United States, then
    TELUS shall comply with Section 15 of the Agreement.

2.3 In furtherance of Sections 2.1 and 2.2, the parties agree to develop and
    implement, in consultation with GTE, an operational model for coordinating
    GTE's and Genuity's preferred supplier rights in a manner that is consistent
    with the parties' agreements and protects the rights and business interests
    of all three parties. In this regard, Genuity confirms to TELUS that Genuity
    and GTE have agreed, and TELUS and Genuity hereby

                                       2
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    agree with each other, to appoint, prior to December 31, 2000, appropriate
    personnel and to use commercially reasonable efforts to develop and
    implement an operational model for coordinating GTE's and Genuity's
    preferred supplier relationships with TELUS. The parties agree that the
    development and implementation of this operational model shall be consistent
    with the preferred supplier principles set forth in this Agreement and the
    GTE Agreement and shall not modify or amend these principles in any manner.

2.4 The parties agree that, in the event that the Agreement is terminated on or
    before June 30, 2005 as a result of Verizon or GTE or any of their
    Affiliates selling or transferring all or a majority of its interest in
    Genuity Inc. to a third party, then Genuity's preferred supplier rights in
    respect of IP Services as set forth in the Agreement and amended by Sections
    2.1 and 2.2 of this Amendment shall continue for a period of six (6) months
    from the date of termination of the Agreement or until June 30, 2005,
    whichever shall occur first. This provision shall survive the termination of
    this Agreement.

3.  Remedies for Breach
    -------------------

    Each party acknowledges and agrees that the payment mechanism set forth in
    Section 6.1 of the Agreement shall not affect or impair either party's right
    to make claims directly against the other party in the event that such party
    has breached its obligations under the Agreement, subject to the
    qualifications set forth in Section 1 hereof. For the avoidance of doubt,
    TELUS' payment obligations are satisfied by remittance to GTE of the royalty
    fees payable by TELUS to GTE under the GTE Agreement or a portion thereof
    that is no less than the amount agreed to be paid by Verizon or GTE to
    Genuity under the agreement made between them (the "GTE-Genuity Agreement").

4.  Term and Termination
    --------------------

4.1 Genuity confirms to TELUS that the GTE-Genuity Agreement shall terminate and
    may only be terminated on the earliest of:

    (i)   June 30, 2005 (unless the Federal Communications Commission grants GTE
          (or any of its affiliated companies, including Verizon Communications
          Inc.) an extension of time to satisfy the conditions for acquiring
          Control of Genuity Inc., in which case the end date of the extension
          period will be referenced in lieu of June 30, 2005); or
    (ii)  the date that GTE (or any of its affiliated companies or successors)
          sells or transfers all or a majority of its interest in Genuity Inc.
          to a third party; or
    (iii) the date of termination of the GTE Agreement; or
    (iv)  the date of termination of the Agreement.

                                       3
<PAGE>

    Genuity shall not amend the term of the GTE-Genuity Agreement without the
    prior written consent of TELUS, provided, however, that the term of the
    GTE-Genuity Agreement may be amended by Genuity without such prior written
    consent in order to comply with the terms of any judicial or government
    order, including any order adopted by the Federal Communications Commission.
    In such event, Genuity shall promptly notify TELUS in writing of the amended
    term of the GTE-Genuity Agreement.

4.2 The parties agree to revise Section 13 by deleting therefrom the following:

    "(e)  [Intentionally deleted]"

    and adding thereto a subparagraph (e) as follows:

    "(e)  The Agreement shall terminate automatically on the date that the
          GTE-Genuity Agreement terminates."

5.  Condition Subsequent
    --------------------

5.1 The parties acknowledge and agree that the execution of this Amendment shall
    satisfy the condition subsequent set forth in Section 17(a) of the
    Agreement.

5.2 TELUS confirms to Genuity that the strategic relationship between TELUS and
    GTE as set forth in the GTE Agreement in effect on the date of this
    Agreement has not fundamentally deviated from the relationship set forth in
    the Heads of Agreement (Brand, Technology and Co-Marketing) between TELUS
    and GTE dated October 1998.

5.3 The parties hereby agree that the remaining conditions subsequent set forth
    in Section 17 of the Agreement are hereby satisfied or waived.

6.  General
    -------

6.1 The parties agree that, except as expressly stated herein, all terms and
    conditions of the Agreement shall continue in full force and effect. In the
    event that there is any inconsistency between this Amendment and the
    Agreement, the terms and conditions of this Amendment shall take precedence
    over the terms and conditions of the Agreement.

6.2 All capitalized terms shall have the meanings ascribed to them in the
    Agreement, unless a term is expressly defined or re-defined in this
    Amendment.

                                       4
<PAGE>

6.3 Genuity Inc. concurs with the provisions in this Amendment and confirms its
    guarantee of the obligations of Genuity under the Agreement as amended
    hereby.

    IN WITNESS WHEREOF, the parties hereto have executed this Amendment on the
date first written above.

Genuity Solutions Inc.          TELUS Corporation

By:  /s/ Genuity Solutions Inc.         By:  /s/ TELUS Corporation
     --------------------------              ---------------------
     Title:  _________________               Title:  ____________
     Date:  _________________                Date:  ____________

Genuity Inc.

By:  /s/ Genuity Inc.
     --------------------------
     Title:  _________________
     Date:  _________________

                                       5
<PAGE>

                                   Exhibit A
                                   ---------

"IP Services" shall mean Telecommunications Services that utilize the IP
(Internet Protocol) protocol as defined by the Internet Engineering Task Force
(IETF) and the International Organization for Standardization (ISO).

     Examples of IP Services:

          -  Managed IP backbone access  (e.g. Internet Advantage)
          -  Managed Internet Access for ISPs  (e.g. ISP Direct, IISP)
          -  IP access through dial in (Dialinx)
          -  IP access through xDSL
          -  Managed Virtual Private Networks for IP (e.g. VPN Advantage)
          -  IP managed security services (e.g. Site Patrol)
          -  IP infrastructure, ISP and ASP consulting services
          -  Web and eCommerce hosting services
          -  Voice over IP
          -  IP internet solutions associated with wireless technologies
          -  Direct IP circuits from Telus to the Genuity backbone network

"Non-IP Services" shall mean all Telecommunications Services other than IP
Services.

"Telecommunications Services" shall have the meaning set forth in the Agreement.

                                       6<PAGE>

                       Confidential Treatment Requested            Exhibit 10.36

                                November 3, 2000

VIA FACSIMILE
-------------

Michael T. Masin
Vice Chairman & President
GTE Corporation
1095 Avenue of the Americas
New York, NY  10036

     RE:  Agreement between Genuity Solutions Inc. and GTE Corporation regarding
          TELUS Corporation

Dear Mr. Masin:

     As you know, GTE Corporation ("GTE") entered into a Heads of Agreement
(Brand, Technology and Co-Marketing) with TELUS Corporation (which, together
with its affiliates, successors and permitted assignees is referred to herein as
"TELUS") dated October 1998 ("GTE/TELUS Agreement", which term shall include the
Software and Related Technology and Services Agreement between GTE and TELUS).
Under this agreement, GTE licensed certain trademarks and technology to TELUS
for use in Canada, including the trademarks, software and know-how of its then
wholly-owned subsidiary Genuity Inc. (f/k/a GTE Internetworking Incorporated).

     In connection with the separation of Genuity Inc. (and its subsidiaries)
from GTE as a result of the merger of GTE and Bell Atlantic Corporation, Genuity
Solutions Inc. ("Genuity"), a wholly-owned subsidiary of Genuity Inc., entered
into a Brand, Technology and Co-Marketing Agreement with TELUS dated as of
June 30, 2000 (which, as in effect as of the date hereof, is referred to as the
"Genuity/TELUS Agreement"). Under this agreement, Genuity licensed its
trademarks, software and know-how acquired or developed after June 30, 2000 to
TELUS for exclusive use in Canada, and entered into certain preferred supplier
and non-competition arrangements. In exchange, TELUS agreed to pay certain
amounts to GTE for the benefit of Genuity.

     The purpose of this letter agreement is to memorialize the terms upon which
GTE will pay to Genuity a portion of the total fee that GTE receives from TELUS
as well as the terms upon which Genuity may act as a preferred supplier to TELUS
in the United States, all as more specifically described below:

                                      -1-
<PAGE>

   1.  Payment.  In consideration for Genuity having entered into the
       -------
       Genuity/TELUS Agreement, including the foregone business opportunities in
       Canada as well as the license granted by Genuity to TELUS for Genuity's
       trademarks, software and know-how acquired or developed after June 30,
       2000, GTE shall, during the term of this agreement as defined in Section
       3 below, pay to Genuity a portion of the fees that GTE receives from
       TELUS under the GTE/TELUS Agreement as follows:

               Year      Payment Amount
               ----      --------------
               2000      US$[*MATERIAL OMITTED AND SEPARATELY FILED PURSUANT TO
                         AN APPLICATION FOR CONFIDENTIAL TREATMENT]
               2001      US$[*MATERIAL OMITTED AND SEPARATELY FILED PURSUANT TO
                         AN APPLICATION FOR CONFIDENTIAL TREATMENT]
               2002      US$[*MATERIAL OMITTED AND SEPARATELY FILED PURSUANT TO
                         AN APPLICATION FOR CONFIDENTIAL TREATMENT]
               2003      US$[*MATERIAL OMITTED AND SEPARATELY FILED PURSUANT TO
                         AN APPLICATION FOR CONFIDENTIAL TREATMENT]
               2004      US$[*MATERIAL OMITTED AND SEPARATELY FILED PURSUANT TO
                         AN APPLICATION FOR CONFIDENTIAL TREATMENT]

       The parties acknowledge and agree that the preceding amounts are fixed
       and constitute the net amount due Genuity after any applicable
       withholding or similar taxes.  The preceding amounts shall not be subject
       to further deduction, withholding or pro-ration (unless this letter
       agreement is terminated prior to the end of a calendar year).  The
       parties further acknowledge and agree that GTE's payment of these fixed
       annual amounts to Genuity shall not be credited towards the minimum
       purchase commitments contained in the Purchase, Resale and Marketing
       Agreement between Genuity and Telesector Resources Group, Inc. dated
       June 27, 2000.

       GTE shall pay Genuity the fixed annual amounts in arrears in equal
       quarterly installments on or before the end of each calendar quarter.
       For calendar year 2000, GTE shall pay Genuity the full US$[*MATERIAL
       OMITTED AND SEPARATELY FILED PURSUANT TO AN APPLICATION FOR CONFIDENTIAL
       TREATMENT] annual amount immediately upon the execution of this letter
       agreement by the parties.

       Prior to the termination of this letter agreement, GTE shall not withhold
       payment of the preceding amounts to Genuity under any circumstances,
       unless TELUS shall have

                                      -2-
<PAGE>

       withheld payment to GTE of a portion of the fees payable to GTE, and
       attributable to Genuity, based on Genuity's default under the
       Genuity/TELUS Agreement. In the event that TELUS withholds payment to GTE
       of a portion of the fees payable to GTE based on Genuity's default, then
       GTE may withhold from its payment to Genuity only an amount equal to the
       amount withheld by TELUS from GTE based on Genuity's default.

       Commencing on July 1, 2004, the parties shall negotiate in good faith and
       exercise their best efforts to agree on a schedule of fixed annual
       amounts that Genuity will receive from GTE during the period from
       January 1, 2005 until the termination of this letter agreement. If the
       parties are unable to agree on a payment schedule by June 30, 2005, GTE
       shall have no further obligations to Genuity under this letter agreement.

   2.  Preferred Supplier.  Pursuant to the GTE/TELUS Agreement, GTE is TELUS'
       ------------------
       preferred supplier of Telecommunications Services, including IP Services,
       in the United States. The parties acknowledge that GTE has granted a
       waiver limited as to scope and duration to permit Genuity to be, until
       the earlier of the end of the term of this agreement or June 30, 2005,
       TELUS' preferred supplier of IP Services in the United States. "IP
       Services" shall have the meaning set forth in Exhibit A of this letter
       agreement.

       In furtherance of the foregoing, the parties agree to develop and
       implement, in consultation with TELUS, an operational model for
       coordinating GTE's and Genuity's preferred supplier rights in a manner
       that is consistent with the parties' agreements and protects the rights
       and business interests of all three parties.  In this regard, GTE and
       Genuity agree to appoint, prior to December 31, 2000, appropriate
       personnel and to use commercially reasonable efforts to develop and
       implement an operational model for coordinating the parties' preferred
       supplier relationships with TELUS.  The parties agree that the
       development and implementation of this operational model shall be
       consistent with the preferred supplier principles set forth in this
       Section 2 and shall not modify or amend these principles in any manner.

   3.  Term.  The rights and obligations of the parties under this letter
       ----
       agreement shall commence as of the Effective Date and shall terminate on
       the earliest of:

       .  the date that GTE (or any of its affiliated companies or successors)
          sells or transfers all or a majority of its interest in Genuity Inc.
          to a third party; or
       .  the date of termination of the GTE/TELUS Agreement; or
       .  the date of termination of the Genuity/TELUS Agreement; or
       .  June 30, 2005 (unless the Federal Communications Commission grants GTE
          (or any of its affiliated companies, including Verizon Communications
          Inc.) an extension of time to satisfy the conditions for acquiring
          control of Genuity Inc., in which case the end date of the extension
          period will be referenced in lieu of June 30, 2005).

                                      -3-
<PAGE>

       If GTE (or any of its affiliated companies) sells or transfers all or a
       majority of its interest in Genuity Inc. to a third party, and, as a
       consequence, the Genuity/TELUS agreement is terminated, then GTE's
       obligations under Section 2 shall continue for a period of six (6) months
       from the date of termination of the Genuity/TELUS Agreement or until
       June 30, 2005, whichever shall occur first.

    4. General. The parties agree that upon execution of a Verizon/TELUS
       -------
       Branding and Technology Agreement, they will use their best efforts to
       amend this letter agreement solely for the purpose of replacing GTE with
       Verizon as the contracting party. This letter agreement is the complete
       and final agreement between GTE and Genuity on the subject matter hereof
       and supersedes any and all prior communications or agreements, whether
       written or oral, with respect to such subject matter. This letter
       agreement may not be modified or amended, nor any right granted hereunder
       waived, unless both parties execute a written amendment to this letter
       agreement or the party waiving its rights has agreed to do so in writing.
       This letter agreement shall be binding upon and inure to the benefit of
       the duly authorized representatives, successors and permitted assigns of
       the parties. This letter agreement shall be governed by, and construed in
       accordance, with the laws of the State of New York.

   5.  Effective Date.  The parties agree that the Effective Date of this letter
       --------------
       agreement is September 30, 2000.

   6.  Compliance with FCC Order.  The parties agree that this letter agreement
       -------------------------
       shall be interpreted and implemented in a manner that is consistent with
       the terms and conditions set forth in the memorandum opinion and order
       adopted by the Federal Communications Commission on June 16, 2000
       approving the merger of GTE and Bell Atlantic Corporation ("FCC Order").

                                      -4-
<PAGE>

     If the foregoing provisions are consistent with your understanding of the
subject matter of this letter, please indicate GTE's agreement to these terms by
signing below and returning a copy of this letter to us via facsimile at +781-
262-3408.

                                       Sincerely,

                                       GENUITY SOLUTIONS INC.

                                       By:  /s/ Ira H. Parker
                                            -------------------------------
                                            Name:  Ira H. Parker
                                            Title: Senior Vice President &
                                                   General Counsel

Accepted and agreed by Genuity Inc. as guarantor of the obligations of Genuity
Solutions Inc.:

GENUITY INC.

By:  /s/ Ira H. Parker
     ----------------------------------------------
     Name:  Ira H. Parker
     Title: Senior Vice President & General Counsel
     Date:  November 3, 2000

Accepted and agreed:

GTE CORPORATION

By:  /s/ GTE Corporation
     ---------------------------------
     Name:
     Title:
     Date:

By:
     ---------------------------------
     Name:
     Title:
     Date:

                                      -5-
<PAGE>

                                   Exhibit A
                                   ---------

"IP Services" shall mean Telecommunications Services that utilize the IP
(Internet Protocol) protocol as defined by the Internet Engineering Task Force
(IETF) and the International Organization for Standardization (ISO).

     Examples of IP Services:

       -  Managed IP backbone access  (e.g. Internet Advantage)
       -  Managed Internet Access for ISPs  (e.g. ISP Direct, IISP)
       -  IP access through dial in (Dialinx)
       -  IP access through xDSL
       -  Managed Virtual Private Networks for IP (e.g. VPN Advantage)
       -  IP managed security services (e.g. Site Patrol)
       -  IP infrastructure, ISP and ASP consulting services
       -  Web and eCommerce hosting services
       -  Voice over IP
       -  IP internet solutions associated with wireless technologies
       -  Direct IP circuits from Telus to the Genuity backbone network

"Telecommunications Services" shall mean voice, data, Internet services,
wireless (mobile and fixed), broadcasting, video, cable, services which are
value-added and provided in relation to any of the foregoing, services
introduced after the date hereof which evolve to provide, replace or substitute
for the foregoing services, any combination of the foregoing and services
incidental to the foregoing.  Telecommunications Services shall not include the
provision of content for broadcasting, video, cable or Internet services, or the
sale, publication or provision of directories in any form.

                                      -6-

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