The plaintiffs asked US District Judge Haywood S. Gilliam Jr. to block the shifting of funds and construction on the wall.
The statement came after Canada released the text of the agreement between Ottawa and Washington in which they agree to eliminate US tariffs on steel and aluminium, and Canada's retaliatory mesures.
At stake is billions of dollars that would allow Trump to make major progress on a signature campaign promise heading into his campaign for a second term.
The Democratic candidate for president and former vice president said he soon will release a proposal to address the nation's long-running border problems.
Images of the wreckage on Mexican TV showed the plane's wings and tail on the ground, surrounded by the charred and shattered remains of the rest of the fuselage.
The duo, including a Sikh man, called for help using technology installed in remote locations to help people in distress.
Critics warn migrant transfers would further burden already stretched immigration authorities while making it more difficult to track those that have been unloaded in sympathetic jurisdictions.
US President Donald Trump has described them as a threat to national security, demanding billions of dollars from Congress to build a wall on the southern border.
The president's visit came a day after he withdrew his nominee to lead US Immigration and Customs Enforcement.
The border wall is one of the long-standing promises that the US President had made during his 2016 presidential campaign.
Asserting that there is indeed an emergency on the southern border, Trump said the United States had more than 70,000 illegal migrants rush its border.
Such a severe move could hit the economies of both countries, but the president emphasized, 'I am not kidding around.'
The United States has led more than 50 countries in recognizing Guaido as Venezuelan leader, calling Maduro's May re-election illegitimate.
Lawmakers voted 248-181 in favor of overturning his veto, mostly along party lines, but that was 38 votes shy of the number needed for the required two-thirds majority.
The Department of Homeland Security asked the Pentagon to build 57 miles (92 kilometers) of 18-foot (5.5-meter) fencing, build and improve roads, and install lighting to support Trump.