LL 5129 then QR 3578 at Barcelona
Alicante → Barcelona → Rome
Timetable, Barcelona time
08:05LL 5129 from Alicante at the gate
21:05QR 3578 to Rome leaves the gate
13 h apart on the timetable
QR 3578 leaves 13 h after LL 5129 arrives on the timetable: more than half a day, so not a connection we count.