QR 3676 then IB 409 at Madrid
Firenze → Madrid → Barcelona
Timetable, Madrid time
14:00QR 3676 from Firenze at the gatealso IB 5786, VY 6036, AA 8866
10:25IB 409 to Barcelona leaves the gatealso LA 1624, CX 1827, LL 3009, VY 5116, AV 6078, BA 7129, QR 7246, AA 8727
20 h 25 apart on the timetable, overnight
IB 409 leaves 20 h 25 after QR 3676 arrives on the timetable: more than half a day, so not a connection we count.