Tuttosport says the Reds are among a cluster of clubs interested in signing the France international.
The report states that Juventus have joined the race to sign Tchouameni, with the Serie A giants plotting to make a move 'between January and June'.
The midfielder has broken into the France team this year.
It has also been claimed that Liverpool, Chelsea and Real Madrid are also interested in Tchouameni, and could provide added competition for the 21-year-old.
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