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                                                                Exhibit 4.(a).32

               SUPPLEMENTARY AGREEMENT RELATING TO SHARE PURCHASE
                                    AGREEMENT

     This SUPPLEMENTARY AGREEMENT RELATING TO SHARE PURCHASE AGREEMENT (this
"Agreement") is dated as of June 29, 2005, and is made by and among CDC Mobile
Media Corporation, a company organized and existing under the laws of the
British Virgin Islands and a 100% wholly owned subsidiary of China.com Inc. (the
"Purchaser"); Unitedcrest Investments Limited, a company organized and existing
under the laws of British Virgin Islands (the "Company"); the Related Entity (as
defined below); Zheng Hui Lan, Ye Yong Ning, Liang Yan, Ma Zhi Qiang and Zhang
Zhi Gang (each the "Seller" collectively, the "Sellers"); Palmweb Inc., a
company incorporated and existing under the laws of Cayman Islands (the
"Guarantor"). Each of the parties hereto may be collectively referred to as the
"Parties" or individually as a "Party".

     WHEREAS the Parties have entered into the Share Purchase Agreement dated
June 27, 2005.

     THEREFORE, in consideration of the mutual covenants and agreements set
forth herein and for other good and valuable consideration, the receipt of which
is hereby acknowledged, the Parties agree as follows:

1.   Definitions and Principles of Construction.

(a)  Capitalized terms in this Agreement shall have the same meaning as given in
     the SPA unless a term is specifically defined herein in which case such
     term shall have the meaning as defined herein.

(b)  The Parties to this Agreement agree that this Agreement may be executed and
     exchanged in a number of faxed counterparts, all of which when taken
     together will constitute one and the same instrument that shall bind each
     party in the usual way.

2.   Portion of Consideration to Be Withheld Pending Tenancy Termination.

(a)  Notwithstanding the provisions of the SPA, the Purchaser shall be entitled
     to withhold such portion of the Consideration equal to RMB50,000 until all
     the tenancy agreements of SZKK's branch offices are properly terminated as
     pursuant to Section 5.12(c) of the SPA.

(b)  In exchange for the agreement of the Sellers, the Company and SZKK with
     respect to the Purchaser's right to withhold RMB50,000 as described above,
     the Purchaser hereby waives the fulfilment, at or before Closing, of the
     covenant of the Sellers, the Company and SZKK set out in Section 5.12(c) of
     the SPA.

3.   Correction of Cross-Reference to Disclosure Schedule in Section 5.12(c).

     The cross-reference to "Section 3.0(g)" of the Disclosure Schedule
     contained in Section 5.12(c) of the SPA shall be corrected by having such
     reference replaced by "Section 3.15".

4.   Addition of Exhibit 7.04

     Exhibit 7.04, in the form and substance as set out in Appendix 1 attached
     hereto, shall be


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     added to the SPA.

IN WITNESS WHEREOF, this Agreement has been duly executed and delivered by the
duly

UNITEDCREST INVESTMENTS LIMITED


By: /s/ Zhang Zhi Gang
    ---------------------------------
Name: Zhang Zhi Gang
Title: Director


SHENZHEN KK TECHNOLOGY LIMITED


By: /s/ Ye Yong Ning
    ---------------------------------
Name: Ye Yong Ning
Title: Chief Operating Officer


ZHENG HUI LAN


By: /s/ ZHENG Hui Lan
    ---------------------------------


YE YONG NING KEVIN


By: /s/ YE Yong Ning Kevin
    ---------------------------------


LIANG YAN


By: /s/ LIANG Yan
    ---------------------------------


MA ZHI QIANG


By: /s/ MA Zhi Qiang
    ---------------------------------


ZHANG ZHI GANG


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By: /s/ ZHANG Zhi Gang
    ---------------------------------


CDC MOBILE MEDIA CORPORATION


By: /s/ Rudy Kai Yu CHAN
    ---------------------------------
Name: Rudy Kai Yu CHAN
Title: Director


PALMWEB INC.


By: /s/ Rudy Kai Yu CHAN
    ---------------------------------
Name: Rudy Kai Yu CHAN
Title: Director


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Appendix 1

                                  Exhibit 7.04

The completion of the transactions contemplated under the Equity Transfer
Agreement is subject to the completion of the registration with the Shenzhen
Municipal Administration of Industry and Commerce with respect to the changes of
the shareholders and the changes of the legal representatives of Shenzhen KK
Technology Limited.


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