Cleavinger (calf) began a rehab assignment with Triple-A Durham on Sunday, walking three and giving up a three-run home run in one-third of an inning.
Cleavinger, who's recovering from right calf tightness, wasn't sharp in his first game action since March 30. The Rays will presumably want the southpaw to get a few rehab outings under his belt to knock off the rust before they consider reinstating him from the injured list, likely positioning Cleavinger for a return in late April if all goes well in his subsequent appearances at Triple-A.