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BeachKitten said:
would the container with # of refills left suffice for that?

That is exactly what we did in 2014 at the Maho Pharmacy. We are from Canada, brought our packages with the prescription info and refills and had no issues with refills. As an aside we travel with some prescriptions just in case of trouble vs buying some drugs we may not need. When we checked at the Maho pharmacy they said they would have filled those had we asked.
J&B