The 20-year-old has been tipped for a big future and is capped by France at Under-21 level.
However, the centre-back is currently struggling to break into the PSG first-team and is considering his future.
That, according to L’Equipe, has sparked interest from Everton and Liverpool, with the pair ready to fight for Kimpembe’s signature this summer.
Monaco tried to sign the Frenchman during the January transfer window but their offer was immediately rejected by PSG.
Everton and Liverpool are expected to be rebuffed in their approach too – unless Kimpembe asks for a move.