Real Madrid have been linked with a move for the Monaco star at the end of the season.
Mbappe has caught the eye in Ligue 1 with 19 goals from 32 games.
The 18-year-old is highly rated with Manchester United also said to be desperate to snap him up.
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Kylian Mbappe idolised Cristiano Ronaldo growing up
Kylian Mbappe is wanted by Real Madrid and Manchester United
Madrid are on the lookout for a new centre-forward amid Karim Benzema’s inconsistent form.
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And, according to Spanish outlet Diario Gol, Mbappe idolised Cristiano Ronaldo growing up.
It is said he had posters of the Portugal international on the walls of his room and Madrid chief Florentino Perez is hoping that Mbappe’s admiration for Ronaldo swings the deal their way.
Real Madrid are looking at replacements for Karim Benzema
However, it is said Mbappe has told Madrid of his reluctance to move just yet.
The teenager wants more time at Monaco to prove his worth – and is wary of the consequences a big money move so early on could bring.
The report points to United star Anthony Martial as an example of this, with the 22-year-old struggling under Jose Mourinho this season.