Understand that these countries operate under the Annexes of ICAO. A state under ICAO will require an operator from another state to have certain documents in their possession when operating in their country.
If the Inspector says produce your documents, and he wants to see a pilot license (certificate), a valid medical, a radio telephone operator's permit (license, certificate, etc) along with a Cat 2/3 card (if applicable) a english proficiency endorsement (or certificate), aircraft registration, airworthiness, insurance papers, etc, etc......
I would never be foolish enough to assume a foreign Inspector will not know the difference, like I said earlier these guys make the FAA look tame.