Asche (oblique) had his rehab assignment transferred to Double-A Reading on Sunday, Steve Patton of the Reading Eagle reports.
Asche went 0-for-4 in his first game for Reading after going 3-for-18 with a home run in five games with High-A Clearwater. The Phillies have not announced a plan for when Asche will come off the disabled list, but it will have to happen by the end of the month as there is a maximum of 20 days that he can be on a rehab assignment.