AZ 632 then AA 2936 at Miami
Rome → Miami → New Orleans
Timetable, Miami time
20:55AZ 632 from Rome at the gate
18:41AA 2936 to New Orleans leaves the gate
21 h 46 apart on the timetable, overnight
AA 2936 leaves 21 h 46 after AZ 632 arrives on the timetable: more than half a day, so not a connection we count.