Trump signed a memo to end the release of immigrants into the community in April.
As the adults are being charged, their children are then separated and deemed to be unaccompanied minors.
Trump has been blasted by politicians, religious figures and the American public for his immigration policies. After asking if Sanford was in the room, according to multiple members, Trump called him "nasty".
Senate Judiciary Committee Chairman Chuck Grassley said he's pushing a bill that would repeal the Flores settlement, which would allow the families to be detained longer than 20 days together in immigration detention.
See images of two of the centres holding migrants to the U.S.
But just as obviously, the child separation issue makes the overall issue risky this time around, beyond the impact on the Hispanic vote. None of them have passed. Bob Goodlatte, would significantly reduce legal immigration, beef up border security, require employers to use the E-Verify system to verify the citizenship of employees (it's now voluntary) and give the "dreamers" a temporary legal status but not citizenship. They took down just the names, dates of birth, and countries of origin of the children.
The more conservative bill, moved by judiciary committee chairman Bob Goodlatte, would make it a criminal offence to overstay a visa in the United States; cut legal immigration by 25 per cent; and allow recipients of the now-cancelled Deferred Action for Childhood Arrivals program - which covered some people who were brought to the USA illegally as children - to remain in the United States on three-year renewable work visas. Any minors accompanying them are to be taken away.
GOP senators including Lindsey Graham of South Carolina, Jeff Flake of Arizona and Susan Collins of ME also said they've been discussing family separation legislation. She also said that children will only be separated in narrow circumstances, including if the adult has broken the law. The problem with that statement is that all illegal border crossers are now considered criminals, a big change in immigration policy. So now we have almost 2,000 children, including little babies, in holding pens.More news: Phil Mickelson freestyles hole 13 of US Open Championship
The Republican calls for a policy rethink follow the release of an audio recording appearing to capture the desperation and suffering of young migrant children separated from their mothers and fathers at the United States border.
The world heard several desperate, crying children Monday on an audio recording released by the investigative news site ProPublica, with the children pleading over and over to immigration agents to be with their "Mami" and "Papa" as the parents were questioned, detained and eventually split from their children.
The department has set up new facilities to manage the influx of children, and Wagner said they were prepared to expand as more children come into custody. They're frightful laws. What's happening is so sad - is so sad.
Trump told lawmakers he stands "1,000 percent" with the members who are pushing for immigration legislation that meets the White House demands of border wall funding and other reductions in legal immigration.
Trump's policy does not seem to be diminishing his popularity among his supporters, including Jesse Bernal, a 38-year-old youth pastor in Morgan Hill who says the border crisis is being exaggerated by a liberal media.
As Trump walked out of the session in the Capitol basement, he was confronted by about a half-dozen House Democrats, who yelled, "Stop separating our families!"
"This a way for us to show the families that we are behind them", said Jaime Walsh, 26, a web designer who recently moved to San Francisco.