The Department of Homeland Security (DHS) said early Sunday that it will continue to enforce all of President’s Trump’s executive orders “in a manner that ensures the safety and security of the American people.”

“The president’s Executive Orders remain in place—prohibited travel will remain prohibited, and the U.S. government retains its right to revoke visas at any time if required for national security or public safety,” the department said in a statement. “The president’s Executive Order affects a minor portion of international travelers, and is a first step towards reestablishing control over America's borders and national security.”

DHS said less than 1 percent of the more than 325,000 international travelers who arrive in the U.S. every day “were inconvenienced while enhanced security measures were implemented” on Saturday.

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“These individuals went through enhanced security screenings and are being processed for entry to the United States, consistent with our immigration laws and judicial orders,” the department added.

“The Department of Homeland Security will faithfully execute the immigration laws, and we will treat all of those we encounter humanely and with professionalism. No foreign national in a foreign land, without ties to the United States, has any unfettered right to demand entry into the United States or to demand immigration benefits in the United States.”

The statement came after a federal judge in New York issued an emergency stay temporarily halting the removal of detained individuals.

U.S. District Court Judge Ann Donnelly, who was nominated by former President Barack Obama Barack Hussein ObamaThe Hill's 12:30 Report - Presented by Facebook - Don't expect a government check anytime soon Trump appointees stymie recommendations to boost minority voting: report Obama's first presidential memoir, 'A Promised Land,' set for November release MORE and confirmed to her judgeship in 2015, ruled in the Eastern District of New York that "there is imminent danger that, absent the stay of removal, there will be substantial and irreparable injury to refugees, visa-holders, and other individuals from nations subject" to Trump's order to ban immigrants from seven predominantly Muslim countries.

Similar rulings were also issued in Virginia, Massachusetts and Washington state.

“The Department of Homeland Security will comply with judicial orders; faithfully enforce our immigration laws, and implement the president’s Executive Orders to ensure that those entering the United States do not pose a threat to our country or the American people,” DHS said.