Currently, both clubs Bayern Munich and Real Madrid are facing same problems just because of these priories are also same with both have rejected Tottenham asking price for the Harry Kane and now both are fighting for the Vlahović which is possible going to be in favor of any club as Juventus is now having troubles so most chances they will also sell him but who is going to be winner it's not easy but for me here Real Madrid which is already suffering due to Mbappé can do much better and have to take this player which is surely better option for them if Mbappé is not coming in this season with most chances in coming season things will be also not clear.
We have the good number of strikers which are coming to be intention with just transfer window is coming, and good thing is happening most of the old are going out from European clubs thanks to Saudis League as now many youngsters can join good clubs and give their best as well.
I understand when they turn down to sign Harry Kane for 100 million or even more than that. he isn't worth that much money and also, both clubs want to build their future. Kane isn't a player for the future. He would rather be a temporary solution for a couple of years.
Mbappe's position is taken by Vinicius Junior, but I guess they would play similar to PSG with two strikers and a wide midfield where Vinicius Junior would play on the left.
Bayern is in a tough spot because when it is between them and Real Madrid they will lose the battle as Real Madrid would be willing to pay a higher salary and a higher transfer fee and now there are even rumors that Osimhen potentially extends his contract with Napoli.