The Slingbox may work just fine with your Chilean TV provider if Chile supports component or composite connections (on the set top box). Also, there will likely not be a virtual remote that matches the Slingbox, but you can use the generic remote to control your TV. Also, if the electrical plug is different from the US plug, you will need to acquire an adapter.
This page: Slingbox frequently asked questions will give you additional details and requirements.
Hope this helps,