The USA international featured joined the Cottagers from Wigan Athletic in the summer of 2020, and he quickly established himself as the first-choice left-back at the club.
During his time at Craven Cottage, Robinson has helped the West London side win promotion from the Championship and achieve a top-half finish in the Premier League.
Robinson featured in 35 of Fulham's 38 Premier League games last term, and his performances have made several European clubs take note.
A recent report claimed that Manchester City, Inter Milan, Marseille and AC Milan were all showing an interest in the 25-year-old.
With 12 months left to run on Robinson's contract, Fulham could decide to cash in this summer rather than risk letting him walk away for nothing next year.
As a result, Calcio Mercato are reporting that they have identified Ballo-Toure as a potential candidate to replace Robinson.
Fulham have already made an initial enquiry to find out more information about Ballo-Torre's current situation at the San Siro.
The Frenchman has been unable to nail down a regular starting place since joining AC Milan from Ligue 1 outfit Monaco in 2021.
AC Milan boss Stefano Pioli has utilised Theo Hernandez as his first-choice left-back, restricting Ballo-Toure to 26 competitive appearances over the last two seasons.
Despite having two years left to run on his contract, the 26-year-old is reportedly keen to secure regular playing time elsewhere.
The Rossoneri are believed to be open to sale, and they have set an asking price of €5m (£4.3m) for the Senegal international.
Marco Silva's side are expected to face competition from Bundesliga club Hoffenheim, who are in need of a new left-back following the departure of RB Leipzig loanee Angelino.