FR 5569 then FR 660 at Dublin
Rome → Dublin → Birmingham (UK)
Timetable, Dublin time
23:55FR 5569 from Rome at the gate
13:45FR 660 to Birmingham (UK) leaves the gate
13 h 50 apart on the timetable, overnight
FR 660 leaves 13 h 50 after FR 5569 arrives on the timetable: more than half a day, so not a connection we count.