PHILADELPHIA -- Right-hander Roy Halladay, recovering from surgery on his throwing shoulder, threw a bullpen session on Saturday afternoon at Citizens Bank Park to follow up Thursday's rehab start with the Rookie-level Gulf Coast League Phillies, in which he allowed three runs in six innings.

According to pitching coach Rich Dubee, both the rehab start and bullpen session were "fine."

Halladay will make his second rehab start on Tuesday with Class A Lakewood. Right-hander Jonathan Pettibone, who is recovering from a strained right shoulder, will also make a second rehab start on Tuesday, with Triple-A Lehigh Valley.