Training program or training programme
Well as a native speaker of American English I would write program. My colleagues from the UK, however, write programme. Our policy at this university is to tell the students that either British or American English is acceptable as long as the student is consistent.
Having said that, the idea of one spelling being correct, really depends on the purpose of the text. I just finished proofreading an article for publication in which the author had used American spelling exclusively. The only problem was that the journal specifically stated the text must be in British English. Thus, in this particular case, American spelling was considered incorrect.