AZ 610 then DL 6063 at JFK
Rome → New York → Lima
Timetable, New York time
18:55AZ 610 from Rome at the gate
12:50DL 6063 to Lima leaves the gate
17 h 55 apart on the timetable, overnight
DL 6063 leaves 17 h 55 after AZ 610 arrives on the timetable: more than half a day, so not a connection we count.