Hours earlier, The Washington Post cited her as saying that the incoming administration of Andres Manuel Lopez Obrador had agreed to allow asylum seekers to stay in Mexico as a "short-term solution", while the United States considered their applications for asylum.
If Mexico were to assume "safe third country" status, asylum seekers would be required to claim refugee status in Mexico rather than the United States, and activists have long argued Mexico does not have the security conditions to offer safe haven for Central American migrants fleeing poverty and violence.
But she said they could not make any agreement on the issue, since they are not yet in government.
Andrés Manuel López Obrador, Mexico's president-elect, plans to implement a policy known as "Remain in Mexico" after taking office next month, his top domestic policy official told The Washington Post.
"What we're aiming for is that people leaving their countries due to security issues or violence can find a place to stay in Mexico, if that is their decision", Ms Robledo said.
Critics on both sides of the border have long assailed the notion of Mexico serving as a way station or detention grounds for Central Americans and others applying for asylum in the United States.
Mr Lopez Obrador has vowed to try to eliminate the causes of migration by creating more jobs and improving living conditions in Mexico and Central America.
U.S. Military stand in line for a drill near the Otay Mesa Port of Entry, Calif., on November 15, 2018.
There are fears as many as 9,000 may be stuck in the city for months.
Mr Trump also said the USA would consider closing the southern border if the administration deemed it necessary, and has said he would use lethal force on the migrants.
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.
It added that under the new rules, an applicant whose asylum claim is denied would not be allowed to return to Mexico but would remain in United States custody pending immediate deportation to his or her home country.
He has expressed determination to stop the caravan from reaching the US, deploying troops to the border and warning of consequences should countries assist the caravan in its journey. "Our very strong policy is Catch and Detain", he wrote in his Twitter message Saturday. The caravans will not be permitted to enter the United States.
Julieta Vences, a congresswoman with Lopez Obrador's Morena party who is also president of Mexico's congressional migrant affairs commission, told the AP that incoming Foreign Minister Marcelo Ebrard has been discussing with USA officials how to handle a deluge of asylum claims at the border. "The hope is that asylum seekers will not want to live in (Mexico) for months/years and won't come", Leutert said via Twitter.