Party official Mary Isenhour said she left the meeting feeling that Matthews still hadn't made up his mind.
The 62-year-old Matthews hosts MSNBC's "Hardball" and provides political commentary on NBC's "Today." His contract with MSNBC expires in June.
Matthews, a Philadelphia native, ran unsuccessfully for a Pennsylvania congressional seat in 1974.
Specter, the longest-serving senator in Pennsylvania history, has repeatedly said he is seeking re-election. He would be 80 if he wins again.
There was no immediate comment from Matthews on Saturday. A reliable home telephone number could not be located and a representative of MSNBC did not immediately return a call.
