That is not the case, you can get a power of attorney at the consulate and later in Chile the person who will use it must authenticate it at the Ministry of Foreign Affairs, I say it because I did it 5 months ago
You cannot give powers of attorney through the consulate, they have to do it with a lawyer in Chile and they must legalize the signature of whoever is in Chile through the Ministry of Foreign Relations. What kind of power is it? If it is simple, it can be done at the consulate. If it is absolute or judicial, it should be done as I mentioned above :) I hope it has served you. Greetings.
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