Mexican officials on Monday denied any such side agreement on controlling migrants. "This is being done to greatly reduce, or eliminate, illegal immigration coming from Mexico and into the United States".
The president previously mentioned French wine in a November 2018 tweet, claiming France makes it hard for the U.S.to sell wine in the country.
"I don't know exactly what he's talking about", said Juan Carlos Hidalgo, a Latin America analyst at the Cato Institute.
Trump alluded to mysterious secret provisions in the deal that he said would have to be approved by the Mexican Congress.
During an interview with CNBC on Monday morning, Trump complained about the European Union's antitrust lawsuits against some of the largest US tech companies like Facebook, before suggesting the USA should be doing the same thing.More news: Raytheon merger won't mean big layoffs, United Technologies CEO says
"We do not anticipate a problem with the vote but, if for any reason the approval is not forthcoming, tariffs will be reinstated", he added, without elaborating.
Speaking to reporters on Monday, Mexican President Andres Manuel Lopez Obrador also had no information about undisclosed additional agreements.
"We would start conversations about what they would like, which is for Mexico to become a safe third country", Ebrard said on a Mexican radio programme. "There is the concern in Mexico Trump is not going to be quiet for long".
Trump had threatened to impose 5% import tariffs on all Mexican goods from Monday if Mexico did not agree to his demands to tighten its borders.
Soldiers stand guard to watch for passing migrants riding in public transportation in Tapachula, Chiapas state, Mexico, Sunday, June 9, 2019.
Hernandez did not say how many troops would be deployed, but it has been reported that 6,000 are being sent to Mexico's southern border. "What did we win?"More news: Justin Bieber challenges Tom Cruise to UFC fight
Over the weekend, Trump announced a deal with Mexico had been reached in order to hold off tariffs that were set to go into affect today.
President López Obrador's government also said that it would take in several thousand people seeking asylum in the USA while their cases were...
The tweets came amid questions about just how much of the deal - announced with great fanfare Friday - was really new.
A major sticking point in last week's talks was a US demand that Mexico be declared a "safe third country" for asylum seekers, requiring them to seek refuge in Mexico if they passed through the country on the way to the United States.
European Union import duties on wine are higher than United States tariffs on European wines, including those from France, but EU consumers buy less of the American product.
Bloomberg News reported that three officials also said that increasing Mexico's purchases from the USA wasn't discussed during the talks in Washington that led up to Friday's agreement.More news: 1 dead when helicopter crashes into New York City skyscraper
The New York Times report denounced by the president argued that key aspects of the trade deal with Mexico had actually been agreed upon by the two nations months earlier. "Yet again "fake news" for Trump just means unflattering news".
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