Real Madrid are really much weaker without a striker like Benzema now. That's why I'm seeing it certain that Real Madrid will bring a decent centre-forward this summer. But I don't understand why they aren't interested in Vlahovic while PSG are about to finish the signing soon. I believe he is one of the best alternatives for Real Madrid for this season.
I don't know maybe they don't want to rush this transfer in case something happens about Mbappe's situation. In the end we can still see another team trying to sign Mbappe by making a huge offer. In that case Real Madrid would like to save their funds for Mbappe transfer as they will need to spend insane amount of money.
Because Vlahovic is not so strong that Real could be interested in him. If he was as effective as Alegre expected, then most likely Juventus would not sell him, and frequent injuries are also not in his favor. Of course, Real Madrid would like to see Mbappe in their team, but for now this will not happen, since his market price is too high and now it depends more on Mbappe himself, who must decide his own fate.