They're both correct, and they often - but not always - mean the same thing. Here's an example when the meanings differ a bit. An English student studying, say, medicine, in France is both "foreign" and "international". But the moment he returns to England, he is no longer "foreign" (he is in his own country), but he is still an "international medical student" (meaning he studies medicine in a country other than Great Britain while being a Britton himself).

Hi, Oleg! Both are correct. In American English though, we use "program" instead of "programme."