The talented forward burst onto the scene last season as he helped fire Monaco to their first Ligue 1 title in 17 years.
His 15 goals and eight assists in the league, as well as his impressive performances in the Champions League have not left him short off offers this summer.
Arsenal, Paris Saint-Germain and Real Madrid are thought to be leading the chase for his signature, while recent reports suggest Liverpool are also keen on the 18-year-old.
However, Madrid look to be putting the wheels in motion to try and bring him to the Spanish capital with Zidane personally intervening.
Kylian Mbappe has reportedly spoken with Real Madrid boss Zinedine Zidane
French publication L'Equipe claim Zidane has spoken with Mbappe and reassured him that he will be given plenty of game time at the Bernabeu, should he join.
The report claims Zidane even told Mbappe that he will sell one of Cristiano Ronaldo, Gareth Bale or Karim Benzema to ensure this happens.
Benzema, 29, would seem the most likely to leave the club, although he still played a key role in firing Madrid to a La Liga and Champions League double last term.
However, Ronaldo's future remains unclear after reports last week emerged he was threatening to leave the club.
GETTY
Cristiano Ronaldo's future remains unclear at Real Madrid
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He is currently embroiled in an ongoing issue with Spanish prosecutors who have accused him of avoiding tax totalling almost £13million, which he strongly denies.
Bale remains under contract with Madrid until 2022 although he too has been linked with a move away with Manchester United keeping tabs on him.
And it seems Zidane is ready to cash in on one of the star 'BBC' trio to land his No1 target Mbappe to lead his forward line next term.