The Padres optioned Song to Triple-A El Paso on Monday.
Pivetta (forearm) will resume a rehab assignment with Single-A Lake Elsinore this week, Annie Heilbrunn of The San Diego Union-Tribune reports.
Rengifo is not in the lineup for Monday's contest versus the Pirates.
The Padres transferred Giolito (elbow) to the 60-day injured list Monday.
Musgrove (elbow) will make his next rehab start at Triple-A El Paso on Thursday, Jeff Sanders of The San Diego Union-Tribune reports.
The Padres selected Harris' contract from Triple-A El Paso on Monday.
Merrill went 1-for-5 with a solo home run in Sunday's 8-1 win over the Twins.
Tatis went 4-for-5 with a pair of home runs and four total RBI in Sunday's 8-1 win over the Twins.
Buehler (8-6) allowed one run on four hits and struck out four without walking a batter over six innings to earn the win over the Twins on Sunday.
Soriano (10-7) took the loss Sunday against the Yankees, allowing five runs on seven hits and three walks over five innings. He struck out seven.
