(CNN) -

The ball is now in Congress' court.

Less than one week after President Barack Obama asked Congress for $3.7 billion to address the tens of thousands of immigrant children who have crossed the southern border in recent months, Congress is now tasked with doing something about it. It can pass it, do nothing or craft a new bill.

It looks as if the latter approach is the most likely. The path to a solution, however, doesn't appear easy.

Democrats and Republicans are deeply divided on both the causes of the problem and the ways to solve it.

Republicans appeared on the political talk shows Sunday with a mostly unified message, and their message contrasted starkly with the Democrats' position.

Republicans indicated that Obama's request, which includes $1.8 billion to care for the children in U.S. custody, is not going to advance beyond their in-boxes.

While they support the allocation of some money, numerous Republicans said Sunday that any money should be "targeted" to quickly deport the youths and to beef up border security.

Fast deportations

"We should do targeted appropriations where it's needed to make sure that we are able to detain people and send them back to their countries," Rep. Bob Goodlatte, R-Virginia, chairman of the House Judiciary Committee, said on ABC's "This Week."

His colleague, Rep. Michael McCaul, R-Texas, chairman of the House Homeland Security Committee, is a member of a group appointed by House Speaker John Boehner to come up with border crisis solutions. He said funding should "provide more swift removal and return" to immigrants' Central American countries.

Change the law ...

A 2008 law that unanimously passed the House and Senate and signed into law by President George W. Bush is prohibiting most of the unaccompanied children from being immediately sent back to their home countries.

The William Wilberforce Trafficking Victims Protection Action Act was written to protect young victims of human and sex trafficking. It states that minors must be humanely cared for, united with relatives living in the United States if possible and given a day in court to present their need for asylum.

"We think that law needs to be changed," McCaul said on "Fox News Sunday."

Sen. John McCain, R-Arizona, who is considered a moderate voice on immigration and was a leading Republican to help pass comprehensive immigration reform through the Senate last year, said the children must be quickly sent home by the planeload.

"All we need to do is change the act, the Trafficking Victims Prevention Act, to treat these children the same way as we do with Canada and especially Mexico," he said on CNN's "State of the Union," noting that children crossing borders from America's two neighbors can be immediately turned away.

... but don't

But as violence is pandemic in Honduras, Guatemala and El Salvador, the countries from where most of the children are coming, Democrats are reluctant to change the law, as some children are escaping violence and possible death. Many Democrats want to ensure that those who are facing life-threatening situations at home are given the opportunity to stay in the United States.

"I will say this: Follow the law, and the law said that we must put the children's interests first, which is what President Barack Obama is doing," Rep. Luis Gutierrez, D-Illinois, said on CBS News' "Face the Nation."

Rep. Joaquin Castro, D-Texas, agreed. He said the children should be able to make their cases for asylum. "I think we've got to be care when we consider completely doing away that that law."

But McCaul hinted that he didn't support wiping out the law, just altering it. "Those (children) with a fear of persecution and violence will have a legal basis to possibly stay," he said.

Not much time

While McCaul said the border crisis "demands action" that should occur "soon," time is slipping away. Congress' monthlong August break is quickly approaching.

Boehner last week said he will wait until his self-appointed working group comes up with a proposal before the House moves forward.

Coming to agreement in a Congress where the Senate is controlled by Democrats and the House by Republicans is not usually a quick process.