BA 349 then VS 117 at Heathrow
Nice → London → Miami
Timetable, London time
21:05BA 349 from Nice at the gate
15:40VS 117 to Miami leaves the gate
18 h 35 apart on the timetable, overnight
VS 117 leaves 18 h 35 after BA 349 arrives on the timetable: more than half a day, so not a connection we count.