The 35-year-old concluded a decorated spell at Paris Saint-Germain with an agonizing 1-0 loss against Bayern Munich in Sunday's Champions League final.
Speaking to Sky Sport after the match, he detailed the prospect of a move to Florence.
Thiago Silva to @RMCsport @mohamedbouhafsi: “It was my last match as PSG player. I’m sad and I’ll be back with another role in future but I’ve to change. I want to play for 3-4 years more and be part of Brazil team in Qatar World Cup”. Chelsea confident to get him. 🇧🇷 #PSG #CFC— Fabrizio Romano (@FabrizioRomano) August 23, 2020
"I have not accepted any offers," he said. "The news of an agreement reached with Fiorentina are not true.
"My agent is speaking with Fiorentina as well as with other clubs.
"I will make a decision in the coming days together with my family."
Silva told RMC Sport he wishes to remain at the elite level for the next three or four years and has ambitions of captaining Brazil at the 2022 World Cup in Qatar.
In Lisbon against Bayern, he made more clearances (six), attempted more passes (47) and completed more successful passes (38) than any other PSG player.