In three seasons with the Braves (2010-12), Venters compiled a 15-10 record and a 2.23 ERA over 230 relief appearances. He was a National League All-Star in '11.
Venters reported to the Rays' Minor League camp and will continue his rehab at the Charlotte Sports Complex this season.
Bill Chastain is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.