Digne, 32, left Everton for Villa in January 2022 and has since established himself as a regular starter under Unai Emery, but his contract is understood to contain a clause that would allow him to open talks over personal terms with PSG should it be activated.
Journalist Ben Jacobs reports that the figure involved sits below £10m, a relatively modest fee for a player of Digne's pedigree and experience.
The defender has enjoyed a strong World Cup with France, starting four of the team's six matches so far as they progress through the tournament, without playing a single minute in the other two. His career has already taken in spells at Lille, Roma, Barcelona and PSG themselves, where he first came through the professional ranks before a series of moves eventually carried him to Merseyside and then the Midlands.
Digne remains under contract at Villa Park until the summer of 2028, meaning any deal would need PSG to trigger the clause rather than negotiate directly with the Premier League club.
Last season he contributed six assists in 31 league appearances for Aston Villa, 21 of them starts, form that helped the club to a fourth-placed Premier League finish and, most notably, Europa League glory under Emery. Losing him to a familiar destination would nonetheless represent another departure for a Villa side already managing significant summer turnover.
Villa are said to have already begun working on a possible successor at left-back, with AC Milan's Pervis Estupinan among the names under consideration should Digne's exit go through.
There is also an added layer of intrigue to any move: Villa are due to face PSG in the UEFA Super Cup on 12 August, meaning the two clubs may find themselves negotiating a transfer and preparing to meet on the pitch within the same few weeks, depending on how quickly PSG choose to act on the clause.
