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                                    Form 6-K

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                        Report of Foreign Private Issuer

                        Pursuant to Rule 13a-16 or 15d-16
                     of the Securities Exchange Act of 1934

                        For the month of September, 2003

                              CONVERIUM HOLDING AG
                   ------------------------------------------
                 (Translation of registrant's name into English)

                                 Baarerstrasse 8
                                   CH-6300 Zug
                                   Switzerland
             -------------------------------------------------------
                    (Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports
under cover Form 20-F or Form 40-F.

                      Form 20-F    X            Form 40-F
                                 -------                 -------

Indicate by check mark whether the registrant by furnishing the information
contained in this Form is also thereby furnishing the information to the
Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

                       Yes                       No    X
                          -------                   -------

     If "Yes" is marked,  indicate the file number assigned to the registrant in
connection with Rule 12g3-2(b): 82- Not Applicable






                                   SIGNATURES

         Pursuant to the requirements of the Securities Exchange Act of 1934,
the registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.


                                               CONVERIUM HOLDING AG




                                               By:  /s/ Dirk Lohmann
                                                    -----------------
                                                    Name:  Dirk Lohmann
                                                    Title: CEO




                                               By:  /s/ Christian Felderer
                                                    -----------------------
                                                    Name:  Christian Felderer
                                                    Title: Group General Counsel



Date:  October 2, 2003







Monthly disclosure of equity securities newly created from conditional capital

Issuer:                  Converium Holding AG
Sec. ID no.:             1'299'771

ISIN:                    CH0012997711


In accordance with art. 3a of the Articles of Incorporation of Converium Holding
Ltd and with para. 5.02 (conditional capital) of the checklist published as
enclosure 1 of the ,,Reports required in order to maintain a listing" (Art. 64 -
75 KR), we inform about the creation of following share capital:

Newly created share capital
o        As at end of September 2003            No new shares
o        As at end of previous month            6'217 Shares
Conditional capital                             No. of shares     CHF
o        Reserved for Employee Participation    4'000'000 Shares  CHF 40'000'000
o        Of which total exercised by end of
         September 2003                              6'217 Shares CHF     62'170
o        Remainder                               3'993'783 Shares CHF          0

With best regards,

Converium Holding AG


--------------------                                    ---------------------
Barbara Barta                                           Livia Gassner
Senior Legal Counsel                                    Legal Counsel