According to reports, Barcelona's chief Deco has taken notice of Kean's resurgence as he searches for a new centre-forward to sign in the summer transfer market.
Deco is also considering Juventus' Dusan Vlahovic, but seems to have a stronger interest in Kean.
Kean left Juventus for Fiorentina last summer and has a contract that includes an affordable €50m buyout clause.