Joe Kelly (hamstring) threw 4 1/3 innings of one-run ball Sunday in a rehab start at Triple-A Memphis. Kelly struck out three and walked one in the outing, throwing 51 of his 72 pitches for strikes. The Cardinals might want the right-hander to make one more rehab start before adding him back to their starting rotation after the All-Star break -- with rookie Marco Gonzales likely heading back to the minors. Kelly has been out since April with a severe hamstring strain.