FR 3181 then AA 67 at Barcelona
Rome → Barcelona → New York JFK
Timetable, Barcelona time
13:40FR 3181 from Rome at the gate
12:25AA 67 to New York JFK leaves the gatealso BA 1557, AY 3821, IB 4264
22 h 45 apart on the timetable, overnight
AA 67 leaves 22 h 45 after FR 3181 arrives on the timetable: more than half a day, so not a connection we count.