Trump and other administration officials, however, say Mexico made major concessions and have credited his threat to slap a 5% tax on all Mexican goods if the country didn't immediately agree to do more to stem the flow of Central American migrants across the USA southern border.
His announcement of a deal came after three days of Mexico-U.S. negotiations in Washington. "And yet we charge them very little for French wine", Trump said in an interview with CNBC anchors on Monday after last week's Normandy trip. It's all done. They have to get approval, and they will get approval.
But Mexico has explicitly denied this, with Foreign Minister Marcelo Ebrard saying Monday, "There is no other thing beyond what I have just explained". Okay? If they bring the numbers way down, we won't have to, but this is my option, ' he said.
"We do not have a specific agreement on products of that nature", he said.
Pompeo hailed Mexico's pledge to deploy 6,000 National Guard personnel to its southern border with Guatemala.
That is different from a long-standing USA demand that Mexico be declared a safe place for asylum seekers, requiring them to seek refuge in Mexico if they passed through the country on the way to the United States.
Mr. Pompeo said the number of people affected will rise from "a couple of hundred" a day to "several thousand per day". Economists, business leaders and lawmakers on both sides of the border warned of a costly trade war that would hurt both nations' economies, and Trump indefinitely suspended the tariffs on Friday as part of the deal.
"The Tariffs scheduled to be implemented by the USA on Monday, against Mexico, are hereby indefinitely suspended", Trump said on Twitter on Friday evening.
Tough luck, Mr. Trump said. "It was all done because of the tariffs and because of the relationship we have with Mexico", the president told reporters at the White House.
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But as part of the 28-member Brussels bloc, France - despite being a major wine producer - does not set its own trade policy or tariffs.
President Donald Trump opened up a whole thread of rage on Twitter Sunday in response to the devastating New York Times report, published Saturday, that Mexico's concessions were not a result of pressure from tariffs but rather months of preparation.
Such a change would require legal changes that would take at least 90 days and would need to be ratified by Mexico's Congress.
Ebrard said he thought Trump might be making a calculation based on Mexican agricultural imports when freed from the threat of tariffs. If implemented, the tariffs would have been disruptive at a time when USA growth is perhaps slowing, been an economic gut-punch to an allied country whose stability is important to us, and probably precipitated a congressional revolt against the policy.
The president's unexpected interview came after he chose to call into the show and offer up his response to Vice President of the U.S. Chamber of Commerce Myron Brilliant's criticism of using tariffs as a negotiating tactic. "If we have to participate in a regional model like the one I have just described, we would have to present that to Congress".
The Wine Institute claims that "high tariff rates constitute the single most restrictive barrier to USA wine exports", however, the French - known worldwide for their wine - do not import much American wine to begin with. "For American businesses, they introduce significant uncertainty: it is hard to make investment decisions in the face of continual threats of new tariffs, even if many of them may not ultimately be enacted".
Mr. Trump bristled at those naysayers and said he would prove them wrong. Shelby also said, "Well, if it doesn't work you are right where you are".
The White House says it may be forced to slap tariffs on an additional $300 billion worth of Chinese goods if he can't make progress with Chinese President Xi Jinping during the Group of 20 summit in Japan this month.