Cobb (elbow) threw a two-inning, 35-pitch live batting practice session Thursday, Marc Topkin of the Tampa Bay Times reports.
The 28-year-old fired away at Steven Souza (hip) and Nick Franklin, and came away pleased with the results. Cobb threw 20 pitches during the first inning, and logged 15 more in the second and final frame. He's currently scheduled for a bullpen session Sunday, after which he'll be evaluated for a minor league rehab assignment.