There is a non-adversarial stage, but people are going to be barred from that if they have not applied within one year of entering the United States. Anybody who is apprehended at the border after being refused in Canada is going to be denied that forum as well. So effectively almost everybody who is denied access to Canada is going to be only allowed an opportunity to apply in an adversarial proceeding.
On February 8th, 2007. See this statement in context.