The forward knows French football well, having spent five seasons at Lille before his move to Juventus, becoming one of the club's key attacking figures and helping them win the 2020-21 Ligue 1 title.
Paris FC, now in their second consecutive season back in Ligue 1, are backed by the financial strength of the Arnault family's ownership alongside a stake held by Red Bull, giving them the resources to pursue a move that would represent one of their more ambitious signings.
David is contracted to Juventus until 2030, but his long-term future in Turin looks unlikely regardless of interest from Paris FC. Head coach Luciano Spalletti has made clear he wants a new centre-forward, with David's departure viewed as the mechanism that would free up space and resources for that arrival, particularly after Randal Kolo Muani's permanent arrival further reduced David's path into the starting XI.
Having joined on a free transfer last summer, any sale would represent a capital gain for Juventus regardless of the fee, with the club previously said to be seeking between €20m and €30m for the 26-year-old — a valuation that has so far kept interest from Turkey, England and elsewhere in France from turning into concrete offers.
David himself is understood to have resisted several approaches already this window, remaining keen to win over Spalletti and revive his career in Serie A rather than leave, which may complicate Paris FC's efforts even if the financial terms can be agreed with Juventus.