The team said both players' status was day to day. Giants manager Bruce Bochy says after the game Posey has inflammation in left ankle. He also said Nunez was not expected to need to go on the DL.
Posey said he was optimistic he won't miss much time.
Nunez suffered hamstring tightness while running out an infield single in the seventh inning and was promptly removed from the contest. Gorkys Hernandez replaced Nunez as a pinch runner.
Posey then slugged a home run in the same inning -- scoring Hernandez -- but injured his ankle on the play. He limped around the bases before heading directly to the clubhouse with the Giants' training staff.
He was officially ruled out in the bottom of the inning with a sore ankle.
Posey is second in the National League with a .356 batting average. His homer in the game was his ninth of the season.
The Associated Press contributed to this report.