According to Corriere dello Sport (h/t Football Italia), the Bianconeri could launch the bid to beat Barcelona to his signature.
Rabiot's contract is up next summer, so he will be available on a free transfer at the end of the season if he does not sign a new deal or leave in January, which will be PSG's last opportunity to bring in a fee for him.
It is said PSG would prefer to part with him early in order for them to get something for him, though given the size of the fee in question, it would perhaps make relatively little difference to them.
Football writer Andrew Gaffney would love to see Tottenham Hotspur snap him up if they do sell Rabiot this winter:
If the Parisians are willing to sell him in January, Juve or Spurs would still need to convince him to join them ahead of Barca.
According to Mundo Deportivo (h/t Sport Witness' Naveen Ullal), Rabiot has already given the Catalan giants an informal "yes," though nothing is concrete because a pre-contract agreement can't be struck until the new year.
With both Sami Khedira and Blaise Matuidi turning 32 in April, the Bianconeri could use another youthful and more mobile option in the centre alongside the likes of Emre Can and Rodrigo Bentancur.
Rabiot, 23, would fit that bill. He's an active and efficient ball-winner when PSG are out of possession, and when they have the ball, he looks to spray it about with his impressive passing range:
He's not only composed when picking a pass, but he also has the technical ability to beat players in the centre of the park and advance the team forward.
With his ability, he could be a useful addition to Juve. Like Barcelona, the Italian outfit can also offer much in the way of silverware to tempt him too. They have won Serie A seven years running, the past four Coppas Italia and reached the UEFA Champions League final in 2015 and 2017.
Ultimately, it will come down to the player's personal preference. If his heart is already set on Barca, Juve could still make an offer to test his resolve but may need to look elsewhere.