Originally Posted by headinclouds
You can do South America before North America by using the transit without stopover to South America. Replace the ...HKG-JFK-LIM... with HKG-LAX-LIM just pick the CX flight that arrives in LAX after the departure of the LAN flight SCL-LIM.
Not sure I understand why HKG-JFK-LIM would have to be replaced with HKG-LAX-LIM. A transit through JFK would be a few more miles and a nice free (short) transit at home for the OP.