Pedro Martinez may be flying to Philadelphia on Monday, WCAU-TV reported on Sunday night.
It is believed Martinez on Tuesday will take a physical, which appears to be the final obstacle standing in the way of the 37-year-old right-hander signing with the Phillies for the remainder of the season.
The Phillies watched Martinez throw twice in the last week -- once Tuesday with Phillies special assistant Charlie Kerfeld in attendance, a second time Friday for the club's director of international scouting, Sal Agostinelli. On both occasions, he threw three-inning simulated games against members of the Phillies' Dominican Summer League team.
Both simulated games took place at the Phillies' baseball academy in the Dominican Republic. No other teams were present.
Indications are that the two sides have spent the weekend finalizing details of a one-year contract. Martinez has been looking for a prorated $5 million deal, plus incentives. But reports out of the Dominican Republic last week were that he was willing to take a prorated $4 million deal with the Phillies.
Jayson Stark is a senior baseball writer for ESPN.com.