The Pirates designated Fleming for assignment Tuesday, Robert Murray of FanSided.com reports.
Pirates manager Derek Shelton said Fleming will start Wednesday's game against the Brewers, Kevin Gorman of TribLive.com reports.
Fleming gave up one run on two hits and a walk over three relief innings Friday to record his first save of the season in a 7-2 win over the Marlins. He struck out three.
Fleming signed a one-year, split contract with the Pirates on Wednesday, Robert Murray of FanSided.com reports.
The Phillies claimed Fleming off waivers from the Rays on Monday, Marc Topkin of the Tampa Bay Times reports.
The Rays placed Fleming on outright waivers Saturday, Marc Topkin of the Tampa Bay Times reports.
The Rays optioned Fleming to Triple-A Durham on Sunday.
Fleming (elbow) was activated off the 60-day injured list Saturday.
Fleming (elbow) allowed two earned runs on five hits and a walk while striking out two across 2.1 innings in a rehab appearance with Triple-A Durham on Thursday.
Fleming (elbow) will begin a rehab assignment with the Rays' Florida Complex League affiliate Saturday.