PSG coach Unai Emery is keen to work with Chelsea striker Diego Costa.
OkDiario says PSG chief Patrick Kluivert has been told to move for the Spain international.
Kluivert is working on adding a final attacking signing to Emery's squad before next week's deadline and the pair have discussed Costa.
The centre-forward has kicked off the season impressively, scoring in both of Chelsea's first two games.
However, Costa has also courted controversy, forcing manager Antonio Conte to defend him due to his on-field antics.