Speaking on Mexican radio the day after a visit by U.S. Secretary of State Rex Tillerson and Secretary of Homeland Security John Kelly, Osorio Chong said Mexico was a stronger country than when such aid deals were signed.
Mexicans are angry at Trump's calls for USA firms not to invest south of the border, insults to immigrants and threats to make Mexico finance the border wall.
Secretary Kelly says deportations would only focus on "criminal elements", adding that everything would be done in close co-ordination with the government of Mexico.
White House press secretary Sean Spicer said that Trump was using the term "military operation" to describe the characteristics of the "flawless" immigration enforcement actions, which he said have been carried out with military-like "precision".
Relations were put under further strain this week when the USA said it would seek to deport many illegal immigrants to Mexico if they entered the country from the southern border, regardless of their nationality.
"My honest advice to any citizen considering moving to the United States and crossing our boundaries in irregular migration, my best advice is to not do it", he said.
"Similarly we underscored the importance of stopping the illegal firearms and bulk cash that is originating in the United States and flowing into Mexico".
However, despite the US President's incendiary claims, security chief John Kelly said there would be "no use of military force in immigration operations".
Carrollton Police Save Overdosed Dog After Eating Heroin Stash, Arrest Owners
Carrollton police thanked the veterinarian and her colleagues for saving the young pup in a post on their Facebook page. On Saturday, Carrollton police officers found a puppy suffering from an overdose of heroin that he somehow ingested.
"There will be no use of military forces in immigration", Kelly said. Further, "no mass deportation" orders would be given to border patrol agents, Kelly noted.
Hundreds of people have already been deported under President Trump, and there are millions living illegally in the USA that could be targeted. "There's no mistaking that the rule of law matters on both sides of the border", he said.
Have an idea for how the border wall between the USA and Mexico should look?
A US Department of Homeland Security internal report seen by Reuters this month indicated the border wall would be a series of fences and walls that would cost as much as $21.6 billion to build and take more than three years to complete.
"All of a sudden for the first time we're getting gang members out, were getting drug lords out".
"There is concern and irritation among Mexicans about what are seen as policies that could be detrimental for Mexicans in Mexico and overseas", he said. "And they're rough and they're tough".
Mexico has warned the USA against imposing a unilateral tax on Mexican imports to finance a border wall between the two countries.
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