Adams threw about 30 pitches during the session and said he felt much better than he did during his first bullpen session on Saturday. He was eligible to come off the DL on Tuesday, but there's still no concrete timetable for his return.
"[My oblique] was a little bit sore at first, but as it went on a little bit, it loosened up," Adams said. "Saturday, [the injury] was a little more rough with how I felt. It felt like a dull cramp in my side, and I didn't feel that today."
Padres manager Bud Black said Adams could throw one more bullpen or batting-practice session this week before making a Minor League rehab stint.
"We'll see how it is tomorrow, Wednesday and Thursday, and then there's a chance he could be pitching," Black said. "If he feels as though he's ready for a game, and he passes a few more tests, he could be throwing in a game."