QR 3692 then EC 8064 at Barcelona
Rome → Barcelona → London Gatwick
Timetable, Barcelona time
16:40QR 3692 from Rome at the gate
12:50EC 8064 to London Gatwick leaves the gate
20 h 10 apart on the timetable, overnight
EC 8064 leaves 20 h 10 after QR 3692 arrives on the timetable: more than half a day, so not a connection we count.