UPDATE 10:58 a.m. EST:
Reince Priebus, President Trump's chief of staff, said in an interview on NBC's "Meet the Press" that green-card holders would be allowed to return to the U.S., an apparent reversal of a key component of Trump's immigration order.
Priebus also said border agents had the authority to detain and questions travelers from certain countries. He said there was nothing in the ban to apologize for.
As far as green card holders, moving forward, it doesn't affect them.
Priebus said American citizens traveling "back and forth to Libya" were likely to be "subjected to further questioning."
Questions over the implementation of the executive order remain, as the Department of Homeland Security said earlier Sunday that "prohibited travel would remain prohibited."
After a day full of protests outside major U.S. airports and court rulings shooting down parts of President Trump's immigration ban, the Department of Homeland Security showed no signs of backing down.
The department said the administration would "comply with judicial orders" as it seeks to carry out Trump's order. But a federal court in New York City granted an emergency stay late Saturday, allowing valid visa holders who have already landed in the U.S. to stay there.
Here's the full statement.
The other big rulings
Since the ruling in New York, several other judges have issued rulings on the immigration ban, The Washington Post reports.
District Judge Leonie Brinkman in Alexandria, Va. blocked the removal of any permanent legal residents ("green card" holders) detained at Dulles International Airport. District Judge Thomas Zilly granted an emergency stay for those detained at Seattle-Tacoma International Airport, preventing their deportation. They are still in federal custody.
A ruling issued early Sunday morning in Boston may be the most far-reaching. Two Iranian nationals who are permanent legal U.S. residents and professors at University of Massachusetts Dartmouth were granted an emergency stay. Judges also put a seven-day restraining order on Trump's executive order, and required Customs and Border Protection to tell airlines heading into Boston's Logan Airport that passengers won't be detained.
That ruling only applies to Massachusetts, the Post reports.
Our country needs strong borders and extreme vetting, NOW. Look what is happening all over Europe and, indeed, the world - a horrible mess!— Donald J. Trump (@realDonaldTrump) January 29, 2017
Trump himself showed no signs of reconsidering the order in Sunday tweets.
Christians in the Middle-East have been executed in large numbers. We cannot allow this horror to continue!— Donald J. Trump (@realDonaldTrump) January 29, 2017
He seemed particularly focused on protecting Christians.
CNN reported White House officials were discussing requiring foreign visitors to share their internet history and social media sites, as well as all the contacts in their phones. These discussions were preliminary.
The response from Trump's Republican Party has been mixed. House Speaker Paul Ryan (R-WI) defended the ban, saying, "This is not a religious test and it is not a ban on people of any religion" through a spokeswoman.
Senate Majority Leader Mitch McConnell (R-KY) insisted, "We don't have religious tests in this country" to ABC's "This Week," but did not condemn Trump's ban.
Here's a clip of that interview.
But Ben Sasse (R-NE) said the approach "lacked wisdom."
Democratic Sen. Chris Murphy's tweet condemning the move went viral.