Kean has made a successful comeback in Florence, and has even returned to the Italian national team under coach Luciano Spalletti.
This has caught the attention of Barcelona's chief, Deco, who is searching for a new centre-forward for the summer transfer market.
Deco is considering two options: Juventus' Dusan Vlahovic and Moise Kean. While Vlahovic is a strong candidate, Deco seems to have a stronger interest in Kean.
Kean transferred to Fiorentina from Juventus last summer and has a contract that includes a relatively affordable €50m buyout clause.