It is difficult to predict Mbappe future now when you look at the transfer situation involving several wealthy clubs such as Real Madrid, Al Hilal and Chelsea. all possibilities can happen because PSG will accept offers from any club as long as they meet the set price. Currently Real Madrid is number one because it is claimed to have made a personal agreement with Mbappe. Thus PSG current scenario is to sell Mbappe before the transfer window closes, because the contract renewal has been rejected and Mbappe insists on staying at PSG despite being under pressure, not being played all season even though it is detrimental to PSG itself.
It's strange that now PSG and Mbappe are in a difficult situation, on the other hand Real Madrid is in an advantageous position because it is the club that Mbappe wants, by stalling for a little time until the end of August will put PSG management in a big loss position, Madrid will submit a proposal at the right time. short it and of course the price is no longer in accordance with PSG expect. If not released then Mbappe will go on a free transfer, Perez is very good at taking advantage of this type of transfer situation.
Considering Chelsea one of the clubs for Kylian Mbappe to settle in is something you're not suppose to do. Al Hilal has brought up a convincing offer for Kylian Mbappe but still, he's not ready to discuss personal terms with the club. Its alright to say he's not interested in the move despite all of the tempting offer from the Saudi's.
Real Madrid are speculated to have agreed a fee with him already but nothing has been said by Real Madrid President. I'm also convinced that would be his final destination regardless of all these big clubs parading and flaunting wealths around the most talented youth in Europe.
Patience is a Virtue, So I do believe it's a good time for Real Madrid to wait until next season, if the Kylian Mbappe really wants Real Madrid, then it'll be much easier for him to achieve. Godspeed with whatever decision he makes.