The England No.1 has informed Manchester City he wants to move to Italy for the rest of the season.
City are in talks with Torino about what percentage of Hart’s £120,000-a-week wages would be paid by each club.
Hart, 29, is now third choice keeper at the Etihad Stadium following the arrival of Claudio Bravo from Barcelona last week.
City boss Pep Guardiola wants Hart to move on and Premier League club Sunderland were also interested.
But Hart prefers a move abroad rather than a relegation fight with the Black Cats.