"This is a vast majority of males seeking employment in the United States, not women and children", said Homan.
"What I saw on the border yesterday was not people walking up to border control agents and asking to seek asylum", Scott said.
Several migrants told UPI they worry Mexican authorities will seek to remove them from the camp and deport them after Sunday's march, the surge at the border, and the use of force in response by USA authorities.
In addition to the arrests, the Mexican government is planning to deport as many as 500 migrants they say attempted to enter the USA violently and illegally.
More than 5,000 migrants are now residing in the border city of Tijuana, according to reports, which has drawn the ire of the mayor. These are people - they call them grabbers.
Some Christians are denouncing the White House's "cruelty" after President Donald Trump's administration defended federal agents' use of tear gas at the U.S. -Mexico border.
Trump also tweeted on Saturday that migrants at the U.S. -Mexico border would stay in Mexico until their asylum claims were individually approved in U.S. courts, but Mexico's incoming government denied any deal had been struck.
On Monday, he said Mexico should send them back to their home countries.
"Do it by plane, do it by bus, do it any way you want, but they are NOT coming into the United States of America", the president, who spent his Thanksgiving break with his family at his Mar-a-Lago resort in Palm Beach, Florida said. "But you really say, why is a parent running up into an area where they know the tear gas is forming?"
Tijuana Mayor Juan Manuel Gastelum on Friday declared a humanitarian crisis in his border city of 1.6 million, which he says is struggling to accommodate the crush of migrants. But Mexican officials pushed back shortly after the article was published, denying they'd signed off on the agreement.
"They want us to wait in Mexico but I for one am desperate".
US lawmakers return to Washington after the US Thanksgiving holiday break and face a deadline to approve funding for the federal government before some funding runs out on 7 December.
Groups of Central American migrants have been converging on the Mexican border city for days in their quest to gain entry to the United States.
Hundreds of people - including women and children - had been protesting and chanting "we aren't criminals!"
United States agents fired tear gas into the crowd, which included children, as a peaceful march turned into chaos.
Over the weekend, the scene at the border devolved as members of the current migrant caravan attempted to storm the border wall between Tijuana and San Diego, and threw rocks at law enforcement and military officers lining the border.
Around 5,200 people who traveled in a caravan across Mexico are packed into the shelter in a stadium in Tijuana, living in makeshift tents.
Critics said this was aimed largely at bringing the immigration issue to the fore with his core supporters.
"I think the funding of the wall right now, never looked better, never looked better", Trump said.
With the caravan as a backdrop, Trump has used national security powers to circumvent longstanding immigration law to deny asylum to anyone caught crossing the border illegally.
Trump then explained that adults who cross the border with kids have "certain advantages" thanks to USA immigration law.