The Giants optioned Wilkinson and recalled him from Triple-A Sacramento on Sunday.
Musgrove (elbow) is expected to make one final minor-league rehab start this week before returning from the 60-day injured list, Jeff Sanders of The San Diego Union-Tribune reports.
Miller blew the save Sunday against the Rays, allowing two runs on two hits while striking out two over one inning.
Ray did not factor into the decision Sunday against the Rays, allowing one run on three hits and three walks while striking out four over six innings.
San Diego placed Rengifo on the 10-day injured list Sunday with a right knee sprain.
Pivetta (forearm) pitched 4.1 scoreless innings, allowing two hits and a walk while striking out seven batters in a rehab start with Triple-A El Paso on Sunday.
The Giants sent Hentges to the 15-day injured list with a left forearm strain Sunday, retroactive to Aug. 27.
San Diego placed Sheets on the 10-day injured list Sunday with a left foot sprain.
McCray went 1-for-4 with a run scored in a 7-2 win over Arizona in Game 2 of Saturday's doubleheader.
The Padres activated Taylor (oblique) from the 10-day injured list Sunday.
