UA 124 then FR 7596 at Athens
Newark → Athens → Budapest
Timetable, Athens time
10:05UA 124 from Newark at the gate
09:55FR 7596 to Budapest leaves the gate
23 h 50 apart on the timetable, overnight
FR 7596 leaves 23 h 50 after UA 124 arrives on the timetable: more than half a day, so not a connection we count.