If you have a few previous revenue LA flights to LIM in your AA (or whichever OW FFP you earn on) account, you should have a good shot at a status match. Mention that your future travel plans include increased travel to LIM/South America and that you are looking at booking some more flights in the near future and will do it with LA if you can get status. That's about as much as you can do in terms of trying to sway them to approve a match.