Sen. Dick Durbin has told Roland Burris that he should resign, but Illinois' embattled junior senator is refusing to do so.
Burris also is refusing to say whether he'll run for the seat in 2010.
Burris repeatedly changed his story about circumstances surrounding his appointment.
He is facing calls for his resignation after he admitted trying to raise money for Blagojevich. Burris has said he did nothing wrong.
He refused to comment after meeting with Durbin on Tuesday.