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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 October, 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




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

--        As at end of October 2003            No new shares

--        As at end of previous month          6'217 Shares

Conditional capital                            No. of shares     CHF

--        Reserved for Employee Participation  4'000'000 Shares  CHF 40'000'000

--        Of which total exercised by end of
          October 2003                         6'217 Shares      CHF     62'170

--        Remainder                            3'993'783 Shares  CHF 39'937'830

With best regards,

Converium Holding AG


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







                                   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:  November 14, 2003