For a trip coming up in < 2 months. ~1200 is probably as good as you are going to get unless there are some last minute sales.
The 'sales' UA is running Europe are running $1000-1300 RT and Europe is consistently a cheaper destination than S. America (more competition).
There may be some fluctuation, but I would be very surprised if you could find a ticket for < $1000 to LIM at any point this summer. I priced a ticket to LIM for some specific dates about a month from now and it came in at close to $3k.