I think the matter of Kylian Mbappe's future isn't supposed to be the a case of discussion now that the transfer window is over. Kylian Mbappe is a Paris Saint Germaine player and will continue to be their player till the end of the summer. Luis Enrique has been given all the necessary backings he needs to succeed in his first season as a PSG manager.
Though Mbappe wants to leave the French capital to continue his footballing career, but it's been reported in the media that he's going to sign a one year contract extension with the club so he can be sold for reasonable amount of money when he'll be leaving next summer.
Indeed, but there may be a special agreement issued for PSG and Mbappe. So let's just see. Actually, Mbappe's performance in some matches looks improved because there are other factors. PSG's incoming transfers are quite good as Dembele, Muani, Asensio. So actually PSG did a good game. So they were quite good in their last game. The doubtful thing may be that for Europe, they will probably have a hard time competing in Europe.
Talking about Mbappe, it seems that his relationship with PSG president Al Khelaifi has improved and it seems that the owner also says that Mbappe is an extraordinary player. It is possible that we will see an agreement to extend his contract for another year or more precisely until the summer of 2025. So it is possible that Mbappe will not leave for free and PSG will of course be very willing to let him go to any club, especially Real Madrid, who really want him. But the focus now is that Mbappe is focused and his mind is only on PSG and for European competition it seems that we cannot fully hope if he is still at PSG this season.