The FAA will issue you a private pilot certificate based on your ANAC license with SE and ME ratings. It will be valid only as long as your ANAC license is valid. You can add an instrument rating to it by passing a short written test. No checkride is required. Anything above the private level requires a written test and a checkride.
To get the 61.75 certificate based on your ANAC license you'll have to have ANAC verify your license to the FAA and then set up a meeting at a FAA office.