The newly-capped France international is emerging as one of the hottest transfer properties in Europe this season.
Tuttosport says Juve are chasing his signature, though face competition from Chelsea.
ASM are prepared to sell Tchoumeni - and want €40m to part with the youngster.
Juve and Chelsea are in contact, though the Bianconeri aim to move to sign Tchoumeni in January to beat the Londoners to his signature.
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