BA 867 then BA 584 at Heathrow
Budapest → London → Milan Linate
Timetable, London time
14:10BA 867 from Budapest at the gate
13:15BA 584 to Milan Linate leaves the gate
23 h 05 apart on the timetable, overnight
BA 584 leaves 23 h 05 after BA 867 arrives on the timetable: more than half a day, so not a connection we count.