FR 6712 then UX 1041 at Madrid
Budapest → Madrid → Rome
Timetable, Madrid time
12:55FR 6712 from Budapest at the gate
12:40UX 1041 to Rome leaves the gatealso EY 4330
23 h 45 apart on the timetable, overnight
UX 1041 leaves 23 h 45 after FR 6712 arrives on the timetable: more than half a day, so not a connection we count.