FR 331 then FR 666 at Dublin
London Luton → Dublin → Birmingham (UK)
Timetable, Dublin time
17:15FR 331 from London Luton at the gate
06:00FR 666 to Birmingham (UK) leaves the gate
12 h 45 apart on the timetable, overnight
FR 666 leaves 12 h 45 after FR 331 arrives on the timetable: more than half a day, so not a connection we count.