Italy international Verratti has been a regular first-team fixture since arriving from Pescara in 2012, making 156 Ligue 1 appearances and scoring five goals in the process.
However, the 25-year-old has been linked with a move away for the past couple of seasons and it appears a departure may finally be happening this summer due to recent transfer revelations.
It is claimed Les Parisiens are pressing ahead in their pursuit of Chelsea star N'Golo Kante and the French club are thought to have spoken to the midfielder's agent about a potential move.
Verratti's playing time is expected to reduce if this deal goes ahead and his agent, Mino Raiola, is believed to have offered his client to a number of top European teams, including the Red Devils.
New PSG boss Thomas Tuchel is happy to let the midfielder leave although an offer around £60million may be needed to force through a move.