KL 1604 then U2 7871 at Schiphol
Rome → Amsterdam → Birmingham (UK)
Timetable, Amsterdam time
15:20KL 1604 from Rome at the gate
14:55U2 7871 to Birmingham (UK) leaves the gate
23 h 35 apart on the timetable, overnight
U2 7871 leaves 23 h 35 after KL 1604 arrives on the timetable: more than half a day, so not a connection we count.