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.
After Karim Benzema left Real Madrid in this transfer season, Real Madrid could have replaced him with any other star if they wanted, but they did not take any haste in this regard. Since their main striker has left the club, there will be a lot of discussion and criticism if his replacement isn't better, and more importantly, the transfer could affect their club, so they haven't added another striker to their squad so far. Real Madrid are just waiting for Mbappe and the way they are waiting, it looks like Real Madrid will sign Mbappe. If Mbappe comes to Real Madrid, Mbappe would be one of the best replacements for Karim Benzema. The rumors of this season are much more than the rumors about Mbappe and Real Madrid in other seasons, so it is expected that Mbappe will come to Real Madrid very soon.
I believe Real Madrid's staid attitude at the moment after the departure of its main striker Karim Benzema have considered from the start, they entrust Vinicius Junior to overcome the impact in the starting eleven after Benzema officially left the club. And that could be the reason Real Madrid seems to no ambition to bring in a new striker to replace Benzema. I no longer expect Kylian Mbappe to come to the Santiago Bernabeu, he has created a situation as if the Paris Saint Germain club has to obey his every wish. I don't want Real Madrid to be like that