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.