There was a time when Mbappe would go to Real Madrid. At the moment I don't see any reason for him to do that. The French league is not very strong and PSG becomes champion without any problems. That is not where Mbappe's ambitions lie. There are only a few clubs where he would seriously want to play, and they are all other clubs than in the French league. The Moroccan midfielder of Angers will also be taken away by a big club in the winter period. I don't know his name, but he made a big impression during the World Cup.
But if PSG this season might be able to get to the Champions League final match, then I'm sure Mbappe will stay at PSG. Because moving to Real Madrid too I think the competition in La Liga is the same, because Real Madrid is also always the favorite and it's the same situation with PSG in Ligue 1.
Although indeed, in La Liga there are opponents who at least have the same quality as Barcelona. Meanwhile, at this moment for PSG in Ligue 1, even though sometimes PSG also only gets draws and also loses, in the end PSG will still be at the top of the Ligue 1 standings.
The situation is at least the same as Bayern Munich in the Bundesliga and therefore, if Mbappe can take PSG further in the Champions League then I'm pretty sure Mbappe will stay at PSG maybe for a longer time.
Because the benchmark right now is only about the Champions League, because their target of being strong in the local league has at least been achieved. Also, if Mbappe can lead PSG to win the Champions League title too then it is very possible for Mbappe to get the Ballon d'Or and therefore, basically the potential for achievement for Mbappe at PSG is very big if he can get many top achievements.