"Must get rid of Lottery, Catch and Release etc. and finally go to system of Immigration based on MERIT!"
Republicans have made immigration a central plank of their appeal to voters ahead of the November midterm elections, in which polls suggest significant Democratic gains are likely.
Trump campaigned on the promise of building a wall to deter illegal immigration and making Mexico pay for it. Mexico has refused, leading Trump to look to USA taxpayers to fund the endeavor instead, at least for now.
Congress has given the president some wall funding but far from the $25 billion he has requested.
He also wants changes to legal immigration, including scrapping a visa lottery program.
Congress must pass a spending bill by the end of September to avert a government shutdown, and Trump on Monday reiterated his demand that immigration reforms, including $25 billion for construction of a wall on USA border with Mexico, be included in any spending package.
Trump is trying to kick blame for any shutdown to the Democrats but Republicans control both Congress and the White House, sparking fears a government closure could come back to bite the GOP at the ballot box.
The federal budget year ends September 30, and lawmakers will spend much of August in their states campaigning for re-election.
The House is in recess and won't return until after Labor Day.More news: Number of people ordered to flee California fires hits 15,000
Nine of the 12 annual spending bills needed to keep the government running would be enacted before October 1, leaving funding for the departments of Homeland Security, Commerce, Justice and the State department on autopilot until after the election.
The House and Senate have already approved a separate package funding the departments of Energy and Veterans Affairs and are working out differences in the competing versions.
The Senate's No. 2 Republican, John Cornyn of Texas, said after the Ryan-McConnell meeting that the goal is to "sort through" the spending bills in a way that would delay debate on wall funding until after the elections.
House Speaker Paul Ryan and Senate Majority Leader Mitch McConnell are sticking with their strategy of completing full-year funding bills for most agencies before the October 1 start of the next fiscal year. They have the strength to derail legislation in the closely divided Senate.
Republicans said they were surprised by Trump's threat Monday that he would "have no problem doing a shutdown" if Congress didn't approve additional border security funding. Trump said on Twitter. Nita Lowey of NY and California's Lucille Roybal-Allard - called the $5 billion a waste that "only further enables this administration's obsession with cruel attacks on immigrants".
As part of a lawsuit in federal court in Seattle challenging Trump's immigration policies, more than a dozen states have asked the federal government for lists of children separated from their parents, the location of each child, information on the separated parents and the government's plans to reunite them.
"The government is at fault for losing several hundred parents in the process, and that's where we go next is identifying and finding those parents who have been removed without children or who are in the interior and not presently located", Judge Dana Sabraw said.
Senate Majority Leader Mitch McConnell says he has no plans to shut down the government over President Donald Trump's push for border wall funds. Richard Durbin, Albence says the agency has records documenting decisions by hundreds of migrant parents to leave the US without their children.
"Please understand, there are consequences when people cross our Border illegally, whether they have children or not - and many are just using children for their own sinister purposes", Trump said.