But the Post quoted Olga Sanchez Cordero, Mexico's interior minister-designate, as saying Mexico's new government had accepted the policy as a "short term solution" to the issue of Central American migration - which has been dramatized in recent weeks as thousands of USA -bound Central Americans have made their way north through Mexico in caravans.
As for the White House, President Trump doubled down via Twitter Saturday night that any migrant who seeks asylum in the United States will have to go through the legal manner and "will not be allowed into the United States until their claims are individually approved in court". "All will stay in Mexico", his tweets assured, and if needed, he was ready to close the border.
Almost 5,000 Hondurans and Guatemalans who have been traveling in caravans for more than a month are camping at sports fields in the Mexican border city of Tijuana as they wait for interviews with United States immigration officials.
Trump took to Twitter again Saturday to reiterate that he plans to do away with the USA catch-and-release system, which allows asylum seekers to work and study sometimes for years while their cases are pending.
But by Saturday night, Mexico's incoming government was denying that any such plan had been finalized.More news: Two killed in attack at Chinese consulate in Pakistan's Karachi
Robledo said the incoming government wanted to find jobs for Central American migrants in sectors that are short-staffed, such as maquila assembly plants.
Implementation of such a policy would mark a significant victory for President Trump, whose tough immigration stance - including his promises to end catch-and-release and build a wall - has formed a central part of his political platform both before and after his election. "All will stay in Mexico", the president wrote.
USA asylum officers will begin implementing the new procedures in coming days or weeks, Homeland Security officials cited by the Post said. He also admonished the USA central bank over the cost of borrowing money.
American 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. "The hope is that asylum seekers will not want to live in (Mexico) for months/years and won't come", Leutert said via Twitter.
There are fears as many as 9,000 may be stuck in the city for months. But agents at the San Diego port of entry process fewer than 100 claims per day.
"We only will allow those who come into our Country legally".
Earlier this month, a federal judge in California halted the Trump administration's latest attempt to seal the USA southern border by barring migrants from seeking asylum inside the country.