FAR 61.41 - Flight training received from flight instructors not certificated by the FAA.
(a) A person may credit flight training toward the requirements of a pilot certificate or rating issued under this part, if that person received the training from:
(2) A flight instructor who is authorized to give such training by the licensing authority of a foreign contracting State to the Convention on International Civil Aviation, and the flight training is given outside the United States.
In other words, it does not matter if your licence is non-ICAO, as long as you received training from a JAR instructor.