"Yeah, I did", he told a news conference in NY when asked by a reporter whether he had rejected a one-on-one meeting with Trudeau.
Officials in the Prime Minister's Office disputed the president's statement - insisting for the second time this week that they did not request a meeting and declining further comment.
"The fact is, Canada is not making concessions in areas where we think they're essential", US Trade Representative Robert Lighthizer said in NY on Tuesday, as quoted by The Hill. "That's the big one", Trump explained.
He added: "We're sort of running out of time". He noted that revising NAFTA terms was easy with Mexico, though trade experts have said the Mexican government gave up very little in its revisions.
"I'm not making it anything near what they want to do", he said.
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One problem is the uncertainty over how much oil will be lost when the USA -led sanctions against Iran begin in November. He further said all producers - OPEC and non-OPEC - wanted to keep the price of oil at around $80 per barrel.
As the NAFTA negotiations are wrapping up, and after a successful renegotiation of the US-South Korea free-trade agreement, the Trump administration's focus appears to be shifting to trade talks with Japan. We don't like their representative very much, ' Trump said in an apparent reference to Canada's Minister of Foreign Affairs Chrystia Freeland, who has been negotiating with U.S. Trade Representative Robert Lighthizer.
Freeland's spokesman, Adam Austen, said Canada would only sign a good deal.
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Washington and Ottawa could not compromise on demand coming from the Trump administration for Canada to drop its dairy subsidies.
Trump should submit the final version of the NAFTA deal by September 30 despite not meeting compromise with Canada. "We're going to tax the cars that come in", Trump said Wednesday during a press conference at the United Nations headquarters in NY.
'Canada has a long way to go.
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The US leader has also threatened to leave Canada out of the deal unless it signs up to the agreement by Sunday.
"I'm not going to use the name 'NAFTA, '" he said.
"I don't really see the elements of a deal", said Mark Warner, a Toronto-based trade lawyer. "Under our deal, not going to happen anymore".
Canadian Prime Minister Justin Trudeau has indicated he may be willing to jump on a deal with the USA and Mexico, but time is running out.
"Everybody knows what each other's position is on all of the major issues and it's really a question of whether or not the USA wants to have a deal", he said at an event organized by the University of Toronto's Munk School of Global affairs and the Politico news outlet.
Trudeau said existing USA tariffs on Canadian steel and aluminum in late May would have to be scrapped before Canada felt comfortable signing a new NAFTA.
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The targeted Chinese imports will face 10 percent tariffs through the end of the year, and then the rate will jump to 25 percent. It leaves Beijing hitting $110 billion worth of U.S. goods, almost everything China buys from the United States.