The Dutchman said goodbye to Liverpool last month after failing to agree on new contracts, whose contract expires on June 30.
Barcelona are a strong favorite to sign the Wijnaldum, having taken Sergio Aguero and Eric Garcia on a free transfer agent this week.
However, PSG are also connected and, according to ESPN, the French giants are ready to offer Wijnaldum a more generous financial package.
With the Former Newcastle United man delaying the decision, German champions Bayern Munich are interested in said to be likely to sign him.
Wijnaldum spent 5 seasons in Liverpool making Liverpool’s 237 games in all competitions and scoring 22 goals.