Boxberger (abdomen), whose closer job has already been guaranteed by manager Kevin Cash when he's ready to return, threw another batting practice session Monday, Bill Chastain of MLB.com reports.
The session unfolded in the Rays' spring training home of Port Charlotte, and depending on how Boxberger feels Tuesday, could lead to an extended spring camp game appearance. Boxberger would then potentially move on to his official rehab assignment, and eventually return to his late-inning closer role that has been capably held down by Alex Colome to date this season.