FR 5300 then FR 2082 at Madrid
Luxembourg → Madrid → Birmingham (UK)
Timetable, Madrid time
12:45FR 5300 from Luxembourg at the gate
12:40FR 2082 to Birmingham (UK) leaves the gate
23 h 55 apart on the timetable, overnight
FR 2082 leaves 23 h 55 after FR 5300 arrives on the timetable: more than half a day, so not a connection we count.