AA 53 then 8C 1231 at Miami
Rome → Miami → San Juan
Timetable, Miami time
17:30AA 53 from Rome at the gate
15:008C 1231 to San Juan leaves the gate
21 h 30 apart on the timetable, overnight
8C 1231 leaves 21 h 30 after AA 53 arrives on the timetable: more than half a day, so not a connection we count.