The Padres reassigned Rhame to minor-league camp Wednesday.
Rhame signed a minor-league contract with the Padres on Monday, which includes an invitation to spring training, Dennis Lin of The Athletic reports.
Rhame (undisclosed) cleared waivers and was outrighted to the Angels' alternate training site Tuesday.
Rhame is not expected to be ready for the start of the season, Mike DiGiovanna of the Los Angeles Times reports.
Rhame cleared intake testing and reported to the Angels' summer camp Tuesday, Fabian Ardaya of The Athletic reports.
Rhame was claimed off waivers by the Angels on Wednesday.
Rhame (elbow/foot) is listed among the Mets' available relievers for Wednesday's Grapefruit League game against the Cardinals, Anthony DiComo of MLB.com reports.
Rhame underwent successful ulnar nerve transposition surgery Tuesday and will miss the rest of the season, Anthony DiComo of MLB.com reports.
Rhame was placed on the 10-day injured list with right elbow discomfort Sunday.
Rhame was recalled from Triple-A Syracuse on Saturday.