Immigrants seeking asylum in the United States by entering through Mexico could be required to wait south of the border while USA courts assess their cases, a member of the incoming Mexican government said in an interview published Saturday.
Sanchez was quoted by the paper as saying that Mexico would allow asylum seekers to stay in the country as a "short-term solution".
But her office later issued a statement saying: "There is no agreement of any type between the future federal government of Mexico and that of the United States of America".
Trump said on Twitter late Saturday that migrants at the border wouldn't be allowed into the US until their claims were heard in court, a process is usually lengthy.
In yesterday's "Caravan update" I observed that we have here a test of wills between President Trump and the supporters of invasion.
Their comments came on the back of a report in The Washington Post, which claimed Mexico and the U.S. had agreed on a deal named Remain in Mexico.
The possible deal shows that the Trump administration has, is about to, overcome Mexico's historic reticence to deepen cooperation with the USA on an issue widely seen there as America's problem.
Stephanie Leutert, director of the Mexico Security Initiative at the University of Texas at Austin, told AP the Remain in Mexico plan is part of a strategy to take away the ability of migrants to live and work in the USA while cases are processed.
The deal was seen as a way to dissuade thousands of Central American migrants from seeking asylum in the USA, a process that can take years.
Sanchez, who said the situation of migrant caravans was "very delicate", did not explicitly rule out that Mexico could keep caravan migrants on its soil while their USA asylum claims are processed.
Hundreds of the migrants lined up this week at a special jobs fair set up for them in the manufacturing city, but others remain determined to reach the US.
Tijuana has declared a humanitarian crisis and requested United Nations assistance as it struggles to support 5,000 migrants mostly camped in a sports complex in the city as they wait to speak to U.S. officials.
Ms Robledo said the incoming government wanted to find jobs for Central American migrants in sectors that are short-staffed, such as maquila assembly plants.
The deal, which would overhaul U.S. border policy, comes with Trump outraged over the presence of thousands of Central American migrants who marched to Mexico's border city of Tijuana hoping to enter the United States for a better life free from the poverty and gang violence in their homelands.
But Mr Ebrard, who will become foreign minister in December after Andres Manuel Lopez Obrador's administration takes power, said the United States had yet to even send "a specific proposal" on how to deal with the issue.
His tweets were interpreted as possible confirmation of the alleged deal between the US and Obrador's administration.
The migrants say they are fleeing poverty and violence in their homelands.
He also gave thanks to - who else?