Type C and type L plugs for Chile
 

Hi, I wanted to double check plug requirements for my upcoming travel to Chile. It seems like Chile uses both type C (two-pronged) and type L (three-pronged) plugs. I'm well equipped with type C plugs because they're the standard in Italy, where I'm from (though I live in the US), but for the three-pronged outlets: do I need an additional type L adapter, or will the type C plug fit fine into them as well?

(I seem to recall that for three-pronged outlets in Italy, we need use adapters like these because the holes/prongs aren't all the same size)