Sen. Richard Shelby Richard Craig ShelbySenate GOP eyes early exit Dems discussing government funding bill into February GOP short of votes on Trump's controversial Fed pick MORE (R-Ala.) briefed President Trump Donald John TrumpBubba Wallace to be driver of Michael Jordan, Denny Hamlin NASCAR team Graham: GOP will confirm Trump's Supreme Court nominee before the election Southwest Airlines, unions call for six-month extension of government aid MORE on the ongoing negotiations to break the stalemate on the U.S.-Mexico border wall and prevent a second shutdown.

Shelby said he had a "productive" meeting with Trump, who he said told the Senate Appropriations chairman that he wanted the conference committee to "wrap it up" and that he wanted a "legislative solution."

"This is crucial time right now, between now and Monday," Shelby said.

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He didn't rule out that the group of 17 lawmakers could reach a tentative agreement before then, signaling that the conference committee has made significant progress toward a deal.

Shelby added that if negotiations remained within the "parameters" that he discussed with Trump that he believes the president will ultimately sign an agreement.

"If we can work within some of the parameters that we've talked about today … I think he would sign it. And I think he's, from my perspective, been quite reasonable," Shelby said.

Speaking to reporters following the meeting, Trump was noncommittal about the spending negotiations.

"Both sides are moving along. We'll see what happens. We need border security. We have to have it. It's not an option. Let's see what happens," he said at the White House.

Shelby spoke with Sen. Patrick Leahy Patrick Joseph LeahyBattle over timing complicates Democratic shutdown strategy Hillicon Valley: Russia 'amplifying' concerns around mail-in voting to undermine election | Facebook and Twitter take steps to limit Trump remarks on voting | Facebook to block political ads ahead of election Top Democrats press Trump to sanction Russian individuals over 2020 election interference efforts MORE (D-Vt.) after returning from the White House and expects to speak with Schumer. He also briefed GOP senators about his talks with Trump during a closed-door lunch.

Senators previously thought Trump would sign a continuing resolution in December only for the president to rebuff the legislation because it didn't include extra border wall money.

Shelby declined to say if Trump gave him a specific amount that he wanted to see in any agreement for physical barriers along the border. The president has previously demanded $5.7 billion for the U.S.-Mexico border wall, an amount that can't pass the House or get 60 votes in the Senate.

The "positive" talks between Shelby, Trump and Vice President Pence are the latest sign of movement in the tightly held negotiations ahead of the Feb. 15 deadline to prevent a second shutdown.

Shelby has also spoken separately with Pence this week, as well as Speaker Nancy Pelosi Nancy PelosiTrump puts Supreme Court fight at center of Ohio rally CDC causes new storm by pulling coronavirus guidance Overnight Health Care: CDC pulls revised guidance on coronavirus | Government watchdog finds supply shortages are harming US response | As virus pummels US, Europe sees its own spike MORE (D-Calif.). Meanwhile, Senate Minority Leader Charles Schumer Chuck SchumerJacobin editor: Primarying Schumer would force him to fight Trump's SCOTUS nominee CNN's Toobin: Democrats are 'wimps' who won't 'have the guts' to add Supreme Court seats Republican senator says plans to confirm justice before election 'completely consistent with the precedent' MORE (D-N.Y.) met with Democratic conferees on Thursday shortly after Shelby's White House meeting.

Sen. Dick Durbin Richard (Dick) Joseph DurbinTumultuous court battle upends fight for Senate McConnell focuses on confirming judicial nominees with COVID-19 talks stalled Senate Republicans signal openness to working with Biden MORE (D-Ill.) told reporters after the meeting with Schumer that "our conversation continues."

-Updated 2:30 p.m.