Cabrera, on the disabled list since April 30 (retroactive to April 27) with a strained right hamstring, took part in a series of drills on the field at Minute Maid Park before Friday's game and then did so again on Saturday.
Cabrera will fly Sunday to San Diego and will play for Class A Lake Elsinore on Monday -- which will be the first of three games he'll play with the Storm. He won't likely play on Wednesday and could rejoin the Padres as soon as Friday, when the team returns home to face the Dodgers at PETCO Park.
"He had a good day on the field," said Black, noting that Cabrera ran and took extra batting practice four hours before the game.
On Saturday, Cabrera missed his 11th consecutive game with the injury.