BA 563 then BA 358 at Heathrow
Rome → London → Lyon
Timetable, London time
10:30BA 563 from Rome at the gate
09:25BA 358 to Lyon leaves the gate
22 h 55 apart on the timetable, overnight
BA 358 leaves 22 h 55 after BA 563 arrives on the timetable: more than half a day, so not a connection we count.