The Frenchman was slated to leave the Villa Park club in the summer transfer window.
However, no move materialized, while Digne has since become a mainstay for boss Unai Emery.
Per Il Romanista, he may have a route out of Villa in the winter or summer, should his situation change.
The Italian giants Roma are eager to secure the 30-year-old, having worked with him in the past.
Digne had a positive loan spell with the capital club in the 2015-2016 season.