President Trump participates in the signing ceremony in the Oval Office of the White House Dec. 21, 2018 in Washington, DC. (Photo by Win McNamee/Getty Images)

A source briefed on the White House meeting between President Trump and Senate Republicans told CNN that the meeting did not go well because there was no end game.

"He dug in," the source said. "But doesn’t have a plan, offered no numbers. I heard it did not go well."

The source added that Trump again made the case to use the so-called "nuclear option" to change filibuster rules so a simple majority of senators could advance legislation, but Senate Majority Leader Mitch McConnell insisted that would not happen.

“He’s very insistent on border security," said Lisa Murkowski, the Alaska Republican who attended the meeting

Sen. Richard Shelby, chairman of the Senate Appropriations Committee who was also at the meeting, said Trump is "open to negotiations." He said Senate Minority Leader Chuck Schumer and Trump "need to talk soon."

"If there's not some movement, we are headed straight to a shutdown," Shelby told reporters.

Asked if Trump showed any sign of accepting a continuing resolution without a wall, Shelby said: "No. He hadn't shown that."

Shelby said Trump "didn't say" if he would accept $1.6 billion in border security money, as was agreed to be Senate appropriators on a bipartisan basis.

"Short of any big intervention or breakthrough, we are headed to a shutdown."