Both Crystal Palace and Southampton were keen on the 22-year-old but talks broke down in the early stages.
However, Babacar could be on the move this summer as he continues to push for a transfer to England.
Indeed when quizzed on the matter the Senegalese’s agent, Patrick Bastianelli, remained coy on his client’s future.
“What of Babacar’s future? We’ll see, at the moment he is contracted on the objective to be achieved with Fiorentina,” Bastianelli told Radio Blu.