UX 1040 then IB 409 at Madrid
Rome → Madrid → Barcelona
Timetable, Madrid time
13:05UX 1040 from Rome at the gatealso ET 1424, EY 4333, AM 6926, AZ 7116, AD 7897
10:25IB 409 to Barcelona leaves the gatealso LA 1624, CX 1827, LL 3009, VY 5116, AV 6078, BA 7129, QR 7246, AA 8727
21 h 20 apart on the timetable, overnight
IB 409 leaves 21 h 20 after UX 1040 arrives on the timetable: more than half a day, so not a connection we count.