The young strike ace has been heavily linked with a switch away from Paris, with the likes of Real Madrid known to be keen on doing a deal in the near future.
Real boss Zinedine Zidane has spoken openly about his desire to sign the 20-year-old and there has been talk of the Spanish giants offering as much as £343million to land their man.
That kind of cash would prove difficult for PSG to turn down, but whether the offer comes in at the end of the season, is another matter.
In the meantime, there have been suggestions that the Parisians are attempting to get the youngster tied down to a new deal, but are fighting a losing battle.
Journalist Eduardo Inda has claimed that Mbappe's mother and representative, has told Real that her son will not extend his deal at the Parc des Princes and is open to a move to Madrid.
If that is the case it is another blow for PSG following reports yesterday that Neymar has also rejected the offer of a new deal as he holds out for a move to Barcelona.
However, allowing both players to move on would swell the coffers immensely and improve the club's standing with FFP, while presenting them with the opportunity to strengthen their own squad with quality players.
So it is not all bad news.