TW 407 then QR 3566 at Barcelona
Seoul → Barcelona → Rome
Timetable, Barcelona time
18:25TW 407 from Seoul at the gate
10:05QR 3566 to Rome leaves the gate
15 h 40 apart on the timetable, overnight
QR 3566 leaves 15 h 40 after TW 407 arrives on the timetable: more than half a day, so not a connection we count.