AA 110 then FR 2437 at Fiumicino
Chicago → Rome → Madrid
Timetable, Rome time
08:55AA 110 from Chicago at the gate
06:25FR 2437 to Madrid leaves the gate
21 h 30 apart on the timetable, overnight
FR 2437 leaves 21 h 30 after AA 110 arrives on the timetable: more than half a day, so not a connection we count.