Pirates director of sports medicine Todd Tomczyk confirmed Wednesday that Mlodzinski (shoulder) recently tossed a live batting practice session, Jake Crouse of MLB.com reports.
Mlodzinski will likely face hitters in BP sessions or simulated games at least a couple more times before the Pirates clear him to begin a rehab assignment in the rookie-level Florida Complex League. The 22-year-old right-hander posted a 2.63 ERA and 1.02 WHIP in 41 innings at High-A Greensboro before being shut down in mid-June with right shoulder soreness.