AA 112 then QR 3616 at Barcelona
Miami → Barcelona → Firenze
Timetable, Barcelona time
07:05AA 112 from Miami at the gatealso BA 1514, AY 3780, IB 4460
21:10QR 3616 to Firenze leaves the gate
14 h 05 apart on the timetable
QR 3616 leaves 14 h 05 after AA 112 arrives on the timetable: more than half a day, so not a connection we count.