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.
Real Madrid have no shows their interest to Vlahovic because they have Joselu and this player can be played as centre striker but i highly doubt Joselu quality will be equal to Benzema because although last season he was performing well with Espanyol but during his career Joselu only spend his time playing with mediocre teams so for centre striker Real Madrid have to look for other players and it's necessary because next season the competition will be so tight especially at champion league and Laliga
About Mbappe although many media has been speculate he will be arrived to Real Madrid this summer but in fact so far they will be stick to their decision that this summer they wouldn't bought him and Real Madrid will gets Mbappe for season 2024 with free transfer status but transfer window deadline still a month remaining so everything still possible to happend and maybe Fiorentino Perez will change his mind and he will attempts to buy Mbappe soon