Donald J. Trump suggested in an interview on Sunday that he would expand his proposed immigration restrictions to include anyone entering the United States from countries or territories “compromised” by terrorism, including allies such as Germany and France.

Mr. Trump’s comments, in an appearance on the NBC program “Meet the Press,” appeared intended to clarify portions of his speech at the Republican convention indicating that he might be rolling back his earlier proposed ban on Muslim immigration. Mr. Trump indicated that the United States needed to protect itself from the failures of countries like France, which he said had allowed itself to be infiltrated by terrorists.

“I actually don’t think it’s a rollback. In fact, you could say it’s an expansion,” Mr. Trump said in the interview with the NBC host Chuck Todd. “I’m looking now at territory.” In the coming weeks, Mr. Trump told Mr. Todd, he would be unveiling a detailed list of countries and territories from which immigrants would be subject to “extreme vetting.”