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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 November, 2006

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

                                 Dammstrasse 19
                                   CH-6301 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



                           Converium Holding Ltd, Zug


Zug,  Switzerland  - November  29, 2006 -  Converium  Executive  Vice  President
Benjamin Gentsch today addresses KBW's European Insurance Conference


Benjamin Gentsch,  Executive Vice President of Converium,  today addresses KBW's
European  Insurance  Conference  in  London.  His  presentation  will  focus  on
Converium as a viable  alternative in the global  reinsurance  market.  Benjamin
Gentsch will highlight  Converium's strong year-to-date  financial  performance,
the  agreed  sale of the  Company's  North  American  operations  and  the  good
prospects  for  a  near-term  improvement  of  Converium's  financial  strengths
ratings.  He will also report on the ongoing  year-end  renewals  and the strong
support Converium is experiencing from clients.

The  presentation  will be  similar  to the one  given  by  Inga  Beale,  CEO of
Converium,  yesterday at the Sal.  Oppenheim European  Financials  Conference in
Zurich  where she  outlined  the key drivers of  Converium's  profitable  growth
following  an  upgrade:  First,  earnings  are  expected  to grow on the back of
increasing  shares of wallet in  existing  client  relationships  as well as the
establishment of new  relationships.  Second,  the combined ratio is expected to
improve  as the  business  mix  shifts  towards  non-proportional  business  and
administration  expenses are supported by a growing  volume of business.  Third,
returns on assets  are  expected  to  increase  reflecting  an  optimized  asset
allocation through a reduction of collateralization requirements.

The presentations are available on www.converium.com.


Converium has made it a policy not to provide any  quarterly or annual  earnings
guidance and it will not update any past  outlooks for  full-year  earnings.  It
will,  however,  continue to provide  investors with  perspectives  on its value
drivers, certain financial guidance for the full year, its strategic initiatives
and  those  factors  critical  to  understanding   its  business  and  operating
environment.

Enquiries

Dr. Kai-Uwe Schanz                               Marco Circelli
Chief Communication &                            Head of Investor Relations
Corporate Development Officer

kai-uwe.schanz@converium.com                     marco.circelli@converium.com
Phone:      +41 (0) 44 639 90 35                 Phone:    +41 (0) 44 639 91 31
Fax:        +41 (0) 44 639 70 35                 Fax:      +41 (0) 44 639 71 31





About Converium

Converium is an independent  international  multi-line  reinsurer  known for its
innovation,  professionalism  and service.  Today  Converium  employs  about 600
people  in 18  offices  around  the globe and is  organized  into four  business
segments:  Standard Property & Casualty Reinsurance,  Specialty Lines and Life &
Health  Reinsurance,  which are based  principally  on ongoing  global  lines of
business, as well as the Run-Off segment, which primarily comprises the business
from Converium  Reinsurance  (North  America) Inc.,  excluding the US originated
aviation business  portfolio.  Converium has a "BBB+" financial  strength rating
(Credit Watch  positive) from Standard & Poor's and a "B++"  financial  strength
rating (outlook positive) from A.M. Best Company.

Important Disclaimer

This document contains forward-looking statements as defined in the U.S. Private
Securities Litigation Reform Act of 1995. It contains forward-looking statements
and  information  relating  to the  Company's  financial  condition,  results of
operations,   business,   strategy  and  plans,  based  on  currently  available
information. These statements are often, but not always, made through the use of
words or phrases such as `seek to',  `expects',  `should continue',  `believes',
`anticipates',   `estimates'   and  `intends'.   The  specific   forward-looking
statements cover, among other matters, the Company's internal review and related
restatement,  the reinsurance market, the Company's  operating results,  certain
financial guidance,  e.g. related to the tax rate of the Company,  the reduction
of North American net reserves, the acquisition costs ratio and the costs of the
Corporate Center,  the rating environment and the prospect for improving results
and expense reductions.  Such statements are inherently subject to certain risks
and uncertainties. Actual future results and trends could differ materially from
those set forth in such statements due to various factors.  Such factors include
the impact of our ratings  downgrade or a further lowering or loss of one of our
financial  strength  ratings;  the impact of the  restatement on our ratings and
client  relationships;  uncertainties  of  assumptions  used  in  our  reserving
process;  risk  associated  with  implementing  our business  strategies and our
capital  improvement  measures and the run-off of our North  American  business;
cyclicality of the reinsurance industry;  the occurrence of natural and man-made
catastrophic  events with a frequency or severity exceeding our estimates;  acts
of terrorism and acts of war; changes in economic conditions, including interest
and currency rate conditions that could affect our investment portfolio; actions
of competitors,  including  industry  consolidation and development of competing
financial  products;  a decrease in the level of demand for our  reinsurance  or
increased  competition in our industries or markets; a loss of our key employees
or executive  officers  without suitable  replacements  being recruited within a
suitable  period of time;  our ability to address  material  weaknesses  we have
identified in our internal control environment; political risks in the countries
in which we operate or in which we reinsure  risks;  the  passage of  additional
legislation or the  promulgation of new regulation in a jurisdiction in which we
or our clients operate or where our subsidiaries are organized; the effect on us
and the insurance industry as a result of the  investigations  being carried out
by the US Securities and Exchange  Commission,  New York's Attorney  General and
other  governmental  authorities;  changes in our investment  results due to the
changed  composition of our invested assets or changes in our investment policy;
failure of our  retrocessional  reinsurers to honor their obligations or changes
in the  credit  worthiness  of our  reinsurers;  our  failure  to prevail in any
current or future arbitration or litigation;  and extraordinary events affecting
our  clients,  such as  bankruptcies  and  liquidations,  and  other  risks  and
uncertainties,  including those detailed in the Company's  filings with the U.S.
Securities and Exchange Commission and the SWX Swiss Exchange.  The Company does
not assume any obligation to update any forward-looking statements, whether as a
result of new information, future events or otherwise.

www.converium.com





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/ Inga Beale
                                                    Name:    Inga Beale
                                                    Title:   CEO




                                               By:  /s/ Christian Felderer
                                                    Name: Christian Felderer
                                                    Title: General Legal Counsel



Date: November 29, 2006