Zinedine Zidane has been public with his admiration for the 2018 World Cup winner, and admitted he is in love with the forward earlier this week before the two sides clashed in the UEFA Champions League.
Reports in Spain claim that Mbappe is a long-term target for Los Blancos, who are yet to fill the void left by Cristiano Ronaldo.
"Kylian will join Real Madrid, I do not know when, but it seems inevitable," Vasilyev has told Le Parisien.
"The club is very important in his life. Madrid had a more interesting offer than PSG in 2017 but he told me he that thought it was too early to leave France, and Paris was his home.
"He wanted to become a great player in France as he would have plenty of time and that showed Kylian's intelligence - he is now the best player in France and PSG have enough finances to keep him."