Manager Brad Mills said Fulchino, who's been on the DL since June 29 with left elbow tendinitis, would probably be sent on a Minor League rehab assignment if he keeps progressing. Moehler, who's been on the DL since July 8 with a right groin strain, has yet to have his future mapped out.
Fulchino threw 25-30 pitches in the bullpen, throwing all three of his pitches without pain.
"It's not a game situation, so it's not all-out like I would normally be, but for a bullpen [session], I felt it was pretty good," Fulchino said. "I felt good and I was able to throw all my pitches pain-free. It's a step in the right direction."