Works for a few hundred more to SCL, which also allows for some interesting routings back to the US.
For instance: MIA - ZRH - FCO on LX / MXP - ZRH - JFK [28h Layover] - SCL for $1592, similar dates. (You have to construct the search in ITA with ZRH-SCL as its own leg with a high minimum connection time.) This would allow you to ditch the last leg if you wanted to make this a cheap return (and weren't angling for all the miles), or you could use it to take a quick break in NYC on the way to Santiago.
