All Senate Republicans have been invited to the White House for a breakfast on Wednesday morning, a White House official and two Congressional aides confirmed to ABC News.

The breakfast will come on the morning that the government shutdown, which will have stretched to 35 days, reaches the record for longest shutdown in U.S. history, topping the record set during President Donald Trump's first administration.

The breakfast is set for 8 a.m. News of the meeting was first reported by Punchbowl News.

Senate Republicans last lunched with Trump at the White House two weeks ago, on Oct. 21. They returned to the Capitol with swag bags.

-ABC News' Rachel Scott and Allison Pecorin

Senate Majority Leader John Thune said he is hopeful that Democrats will "come to their senses" this week and vote to reopen the government.

"Shutdowns are stupid," he told reporters Tuesday. "I've been here long enough to have been through a few of them. Nobody wins. And so, you know, I think the, obviously, the American people ought to hold us all accountable."

Thune said he still doesn't know what exactly Democrats want to reopen the government.

"We have accommodated a lot of their questions and concerns. They want to have a discussion about health care. We offered that up a long time ago," he said. "I've talked repeatedly about having a normal appropriations process where we put bills on the floor, open it up in the amendment process and allow people to have their voices heard and how we fund the government the old-fashioned way. But so, I'm still at a loss as to what it is exactly they're trying to get out of this."

Thune said there are ongoing discussions about what the new deadline will be for a short-term bill to fund the government.

"The Nov. 21 deadline no longer makes a lot of sense. So clearly it would have to be extended. And there is a conversation around what that next deadline would be," he said.

-ABC News' Lauren Peller

The House Freedom Caucus has endorsed a long-term continuing resolution that would go into November 2026 if not later -- setting up a clash with GOP leaders.

This comes as House and Senate leaders are looking at a new date for the continuing resolution in either December or more likely, January.

-ABC News' Lauren Peller

The White House on Tuesday would not guarantee all furloughed federal workers will get backpay -- despite a 2019 law President Donald Trump signed that guarantees it.

The Washington Post reports the administration is sending notifications to federal staff suggesting that only those who worked during the government shutdown will be paid when it ends.

White House press secretary Karoline Leavitt said the administration is "open to discussing with Democrats" the issue of backpay, indicating they are once again using federal worker pay as a pressure point to get Democrats to vote to reopen the government. However, she would not specify what that discussion would entail or why a federal law is being discussed.

-ABC News' Rachel Scott and Karen Travers