Trump has ordered the National Guard to be deployed along the border with Mexico.
"Mexico senators unanimously approved a nonbinding statement on Wednesday that says the government should suspend joint efforts "in the fight against transnational organized crime" until Trump exhibits "the civility and respect that the people of Mexico deserve", continued Associated Press.
Pena Nieto has twice canceled plans to visit Washington after tense phone calls with Trump in which the Republican president refused to back down from his insistence that Mexico pay for his planned border wall.
The now-infamous caravan has not only made it to the president's Twitter feed, but it has also been prominently featured on Fox News and throughout right wing media - used to bolster calls to crack down on illegal immigration on the Southern Border.
Lopez Obrador said crime rates in US border cities have been falling in recent years, as has the number of Mexicans seeking to cross the border.More news: German court sets bail for ex-Catalan leader
Homeland Security Secretary Kirstjen Nielsen has said that the Trump administration is working with four southwestern states to deploy the Guard troops, Reuters reported.
"Why not yesterday and tomorrow?" "The threat is real, as I mentioned".
Trump's series of comments this week directed at Mexico have thrust the countries' relationship into the center of the presidential campaign, where the ruling party is trailing.
This response is part of a growing discontent on the part of the Central American governments - especially the Mexican one - for President Trump's threats to withdraw from the North American Free Trade Agreement (NAFTA) if Mexico and Honduras did not "deal with" the caravan of Central Americans going to the border.
An organizer of the volunteer group that organized the caravan, said that migrants would keep moving, but in smaller groups according to a report Tuesday. Organizers of the event project that some 200 or so will proceed all the way to the border in coming days. Still, groups are traveling the same distance and routes as they have for the last eight years.