IB 589 then U2 6640 at Charles de Gaulle
Madrid → Paris → Birmingham (UK)
Timetable, Paris time
17:55IB 589 from Madrid at the gate
17:10U2 6640 to Birmingham (UK) leaves the gate
23 h 15 apart on the timetable, overnight
U2 6640 leaves 23 h 15 after IB 589 arrives on the timetable: more than half a day, so not a connection we count.