DL 6770 then AF 3589 at Madrid
New York JFK → Madrid → Atlanta
Timetable, Madrid time
11:10DL 6770 from New York JFK at the gatealso RO 9429
10:50AF 3589 to Atlanta leaves the gatealso AM 5689, KL 6029
23 h 40 apart on the timetable, overnight
AF 3589 leaves 23 h 40 after DL 6770 arrives on the timetable: more than half a day, so not a connection we count.