The 21-year-old midfielder is yet to make his debut for the senior side, but he impressed for the B team last term, contributing one goal and two assists from 16 outings.
The youngster is due to become a free agent next summer, though, and his current situation has supposedly alerted clubs to a possible swoop.
The Gunners have been linked with an approach for the 29-year-old during the past.
However, a knee injury kept the Brazilian out for the second half of the season.
According to Le10Sport, Arsenal are willing to hold discussions with the Catalan giants as they look for a new creative playmaker.
The Catalan giants were one of a number of clubs linked with a move for the Netherlands international before he ultimately chose the Bianconeri.
De Ligt has had a difficult time with injuries since arriving in Turin, but he chalked up 36 appearances in all competitions during the 2020-21 season.
Depay’s contract with Les Gones is due to expire at the end of June, and Barca coach Ronald Koeman is said to be determined to bring him to Camp Nou this summer.
However, according to Le Parisien, PSG boss Mauricio Pochettino impressed by the Dutchman’s performances this season.