Tuttosport says Juve are ready to raise an exchange involving Weston McKennie.
Cristante's deal runs to 2027 and Roma management are yet to make a decision about the Italy international's future.
Watching developments is Juve GM Damien Comolli, who has a good relationship with Cristante's agent, Beppe Riso.
A move in January could be on with Comolli prepared to include McKennie in their offer.
The USA international comes off contract in June, with no move yet made to discuss new terms.
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