Arizona is one of several teams thought to be pursuing Mulder, who is coming off shoulder surgery that ended his season with the
St. Louis Cardinals in September.
Mulder, who lives in the Phoenix area, was 6-7 with a 7.14 ERA with St. Louis before the surgery. He had been one of the game's top lefties before struggling last season.
The meeting -- which included Mulder, Arizona general manager Josh Byrnes and manager Bob Melvin, among others -- took place Wednesday.
Just how serious the dollar-conscious Diamondbacks are is unclear.
"We had a good meeting," Byrnes said Thursday. "I won't get into specifics, but I will confirm that we met."