Iglesias (shoulder) will throw a live bullpen session before Monday's game against the Marlins, Justin Toscano of the Atlanta Journal-Constitution reports.
Iglesias has been able to throw multiple bullpen sessions, but he'll finally get a chance to face hitters in a simulated environment. The next step for the right-hander would likely be a rehab assignment, and he could be operating as the closer for Atlanta by the end of April.