The young midfielder joined the 'Irons' only two seasons ago from FC Sion in his native Switzerland on a four-year deal.
While he was a fairly regular member of the team in his first season, he made just 14 appearances during the last Premier League campaign.
Over the summer, new manager Manuel Pellegrini made sure to strengthen his midfield ranks by adding Jack Wilshere on a free transfer from Arsenal and Colombian international Carlos Sanchez, and as a resut Edmilson has fallen even further down the pecking order.
'Sky Sport' reports that he is about to undergo a medical with the Florence-based club, and will join on a season-long loan with an option to buy.