FR 5569 then FR 337 at Dublin
Rome → Dublin → London Luton
Timetable, Dublin time
23:55FR 5569 from Rome at the gate
17:45FR 337 to London Luton leaves the gate
17 h 50 apart on the timetable, overnight
FR 337 leaves 17 h 50 after FR 5569 arrives on the timetable: more than half a day, so not a connection we count.