Florentino Pérez said they plan to sign Mbappe for the next season. But considering the current situation of Mbappe, I assume Pérez may try to sign him now. Moreover, Real Madrid still has no a top striker, they only signed Joselu. I think Joselu isn't enough to compete for UCL title.
Indeed, after the departure of Benzema, they still do not have a replacement that is at least equal. And with Mbappe, this would be an extraordinary thing, but it's still wishful thinking at this time, because it's still just rumours. But indeed, the rumors in the current transfer market are stronger than before. If previously PSG could make such an attractive offer for Mbappe, this season might be different again. But, will Mbappe return to how he used to be, pressing his desire to go to Real Madrid and stay at PSG for certain reasons and offers.
Situation at Real Madrid is very confusing because things are looking not good for the next season again with specially after exit of Karim Benzema they are missing quality striker even they signed few new names, but they are not as par requirement and as we all know Real Madrid President Florentino Pérez already announces they will not buy Mbappé on current price and try to bring him as free agent which looking not wise decision because if PSG insist about extension in contract, and he refuse then surely most chances they will sell him as few English clubs are in negotiation about this possible transfer with this most chances Mbappé's dream for playing here Real Madrid is going to shatter because next deal is surely going to happen for the four or five years which will create problems for the both parties Real Madrid and Mbappé just because of this Real Madrid has to act quickly.