I didnt find anything else about "SINN". It would be nice to find another item marked with that word. The plate or ashtray is extremely heavy for its size. I showed it to my friend from Chile and he inmediatly noticed the mistake with the Huemul-Horse design and also he pointed that the words "República of Chile" in the plate are also wrong, it should be "Por la fuerza o la razón" because thats what the actual coat of arms has.
This is a pic of the coat of arms in the plate:
I already wrote a letter to "Casa SINN" hoping to ID the plate.