AA 868 then LA 2993 at Miami
Dallas-Fort Worth → Miami → Lima
Timetable, Miami time
12:54AA 868 from Dallas-Fort Worth at the gate
12:45LA 2993 to Lima leaves the gate
23 h 51 apart on the timetable, overnight
LA 2993 leaves 23 h 51 after AA 868 arrives on the timetable: more than half a day, so not a connection we count.