EXHIBIT 99.1
         April 2, 2004

                   PLIANT CORPORATION TO HOLD CONFERENCE CALL

                      FIRST QUARTER 2004 FINANCIAL RESULTS

     SCHAUMBURG,  IL - - Pliant Corporation  announced today that Brian Johnson,
Executive Vice  President and Chief  Financial  Officer,  will host a conference
call to discuss the Company's First Quarter 2004 operating results and to answer
questions  about the  business.  The call will take  place at 2:00 P.M.  EASTERN
STANDARD TIME on THURSDAY, MAY 6, 2004.

     Participants in the United States can access the conference call by calling
800-857-0373,  using the  access  code  PLIANT,  or  internationally  by calling
773-756-4600  and  using  the  same  access  code  (Pliant).   Participants  are
encouraged  to  dial-in  at  least  ten  minutes  prior  to  the  start  of  the
teleconference.

     Following the call's completion,  the replay will be available through 5:00
p.m.  Eastern  Standard Time on Wednesday,  May 12, 2004.  Telephone  numbers to
access the replay are as  follows:  United  States  888-566-0514,  International
402-998-0672. No access code required for the replay.

Pliant  Corporation  is a leading  producer  of  value-added  film and  flexible
packaging products for personal care, medical, food, industrial and agricultural
markets.  The Company  operates 25  manufacturing  and research and  development
facilities around the world, and employs approximately 3,250 people.

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   CONTACTS:

   John C. McCurdy                             Brian E. Johnson

   Director of Corporate Communications        EVP and Chief Financial Officer

   John.mccurdy@pliantcorp.com                 brian.johnson@pliantcorp.com

   Phone: 330.896.6732                         Phone: 847.969.3319

   Company Web Site: www.pliantcorp.com