AZ 633 then FR 5816 at Fiumicino
Miami → Rome → Bari
Timetable, Rome time
15:10AZ 633 from Miami at the gate
08:15FR 5816 to Bari leaves the gate
17 h 05 apart on the timetable, overnight
FR 5816 leaves 17 h 05 after AZ 633 arrives on the timetable: more than half a day, so not a connection we count.