After a strong 2013–14 season, Biabiany was set to move to Milan on the last day of the 2014 summer transfer window. After posing for a photo with the Milan scarf outside of the club headquarters, Biabiany failed his medical at what was set to become his new home with the Milan side's medical staff uncovering a heart problem the player had. After extensive testing, doctors indicated that the Frenchman had an irregular heartbeat and would miss the first half of the season in order to have his condition treated. Biabiany returned to training in February 2015. On 11 April 2015, Biabiany terminated his contract with Parma by mutual consent. Parma was declared bankrupt in mid-season.