Hours earlier, The Washington Post quoted her as saying that the incoming administration of Andres Manuel Lopez Obrador had agreed to allow migrants to stay in Mexico as a "short-term solution" while the us considered their applications for asylum.
The report quoted incoming Interior Minister Olga Sánchez Cordero, whose office then denied Mexico had agreed refuees could stay on Mexican soil awaiitng processing by U.S. authorities, while not retracting her original statement.
"Migrants at the Southern Border will not be allowed into the United States until their claims are individually approved in court".
On Saturday, the Commander-in-Tweet underlined his "no crossings" border policy, vowing to keep out the caravans of immigrants massing on the Mexican side.
This would end the current system, in which asylum seekers stay on safer U.S. soil while their claims are processed.
Around 3,000 have taken up an offer, offered by Mexican president Enrique Pena Nieto, of asylum and the right to work on the condition they remain in southern Mexico.
The White House did not immediately respond to questions about what the president was referring to.
Ana Maria Salazar Slack, a former policy adviser to the US Special Envoy for the Americas, said the issue is a "very controversial" one in Mexico. Indeed, for his part, President Trump announced twice yesterday via his favorite medium "If for any reason it becomes necessary, we will CLOSE our Southern Border".
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The swipe came as a row over Gibraltar threatens to derail the Brexit divorce package. He said: 'The language of vetos and exclusions should be the language of the past.
The number of asylum applications has exploded since 2014 as more migrants learn to exploit the rule, which the Trump administration sees as a loophole encouraging illegal border crossings and straining the United States immigration system.
The administration of Mexico's current president, Enrique Pena Nieto, rejected a similar Trump administration proposal a year ago.
U.S. Military stand in line for a drill near the Otay Mesa Port of Entry, Calif., on November 15, 2018.
After a trek of more than a month from Honduras, almost 5,000 migrants - including women and children - are now in Tijuana living in a makeshift shelter.
Others, he said, would "stay in Mexico", he added, without elaboration. But agents at the San Diego port of entry process fewer than 100 claims per day.
U.S. officials will be able to process at least twice as many asylum claims under the new system because they would not be limited by detention space at United States ports of entry, the Post report said.
"We only will allow those who come into our Country legally". Tijuana's mayor declared a "humanitarian crisis" Friday as the border city sought additional federal and state aid to help house the migrants, most of whom are crowded into a sports complex a block from the U.S. -Mexico border fence.
Earlier this month, a federal judge in California halted the Trump administration's latest attempt to seal the US southern border by barring migrants from seeking asylum inside the country. He tweeted, "our very strong policy is Catch and Detain".