Both Premier League clubs have been linked with the all-action Paris Saint-Germain midfielder, who could leave the French capital this summer with his future unclear.
Matuidi started just 23 Ligue 1 games last term and has entered the final two years of his contract with PSG.
And now, according to reports in France, Juve will attempt to prise him away from the Parc des Princes if his France team-mate Pogba does complete a move away.
The former Manchester United man is expected to return to Old Trafford during the transfer window for a world-record fee.
And the Old Lady will have cash to spend on a replacement – with Matuidi at the top of their hit list.