The Padres outrighted Wolf to Triple-A El Paso after he cleared waivers Saturday.
The Padres designated Wolf for assignment Thursday.
The Pirates traded Wolf to the Padres on Tuesday in exchange for Kervin Pichardo.
The Pirates designated Wolf for assignment Thursday.
Wolf was optioned to Double-A Altoona by the Pirates on Monday, Kevin Gorman of TribLive.com reports.
Wolf, Alfonso Rivas and Estuar Suero were traded from the Padres to the Pirates on Tuesday in exchange for Rich Hill and Ji-Man Choi, Jon Heyman of the New York Post reports.
The Padres optioned Wolf to Double-A San Antonio on Sunday.
Wolf (1-0) earned the win Saturday, allowing three runs on six hits and one walk over five innings in a 14-3 win over the Tigers. He struck out one.
Wolf's contract was selected as expected Saturday ahead of his major-league debut against the Tigers.
Wolf could make his major-league debut for the Padres on Saturday in Detroit, AJ Cassavell of MLB.com reports.