Kylian Mbappe is not interested in meeting representatives from Al Hilal to discuss a move to Saudi Arabia.
PSG have given Al Hilal permission to speak to Mbappe after the Saudi club made a world-record €300m (£257m) offer for the player on Saturday.
Representatives of Al Hilal have been in Paris this week but there has been no meeting with Mbappe's camp.
PSG insiders believe Mbappe is refusing to speak to Al Hilal because he has already agreed to move to Real Madrid as a free agent next summer when his contract expires.
Al Hilal's offer was subject to the agreement of a payment schedule and it was conditional on the signing of contracts between the clubs and between Mbappe and Al Hilal.
PSG believe at least five clubs are interested in signing Mbappe. The offer from Al Hilal is not the only one the French champions have received.
There is said to already be a "hot market" for the France captain, with the interested clubs including Chelsea, Manchester United, Tottenham, Inter Milan and Barcelona.
PSG will listen to any offer and all proposals to sell Mbappe, and if it was left to the French champions they would just sell him to the highest bidder, although other clubs will struggle to come anywhere near Al Hilal's offer.
The 24-year-old will not play for PSG again if he does not extend his contract.
However, Real Madrid may now be tempted to make a formal bid for the player to make sure they do not miss out on him again.
