Alvarado (shoulder) threw a 26-pitch bullpen session Monday and will throw a simulated game Thursday, Marc Topkin of the Tampa Bay Times reports.

EDGE Analysis

Alvarado remains on the 45-day injured list with left shoulder inflammation and won't be eligible to return before the start of the playoffs. It appears that he has a chance to do that, though the Rays won't be sure until they see how his shoulder holds up this week.