BA 557 then BA 352 at Heathrow
Rome → London → Nice
Timetable, London time
19:35BA 557 from Rome at the gate
18:05BA 352 to Nice leaves the gate
22 h 30 apart on the timetable, overnight
BA 352 leaves 22 h 30 after BA 557 arrives on the timetable: more than half a day, so not a connection we count.