Yes, Canada is being inundated with a flood of refugees from the United States. And no, this story is not from The Onion. Source: Reuters Canada will continue to accept asylum seekers crossing illegally from the United States but will ensure security measures are taken to keep Canadians safe, Canadian Prime Minister Justin Trudeau said on Tuesday. The number of would-be refugees crossing into Canada at isolated and unguarded border crossings has increased in recent weeks amid fears that U.S.