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There are several countries which are not participating in the AEOI/CRS framework. The only question is whether there is any bank in one of those which is willing to open an account remotely. I'm not looking for any tax advantage and I don't need this for tax reasons but for privacy reasons.
 
In my opinion they'll send your account information anyway because they're obligated to do so whether with TIN or without. That's why they signed the IGAs with so many countries and now they're going to send company account's too from 2018 or 2019.

EuroPacific is IGA jurisdiction. In other words automatic exchange of information, same as AEOI/CRS.
 
@davideu
If you check my posts you will find some proposal, generally ME and RS. Usual you will give a POA to a attorney/trustee who will open a Bank account in your name, let's name this Remote opening.
I personal have only good experience with Banks in both countries and actual all the time I would prefer them to any CY/BZ Bank plus you got as benefit no AEOI.