President Obama will convene a long-anticipated meeting at the White House next Tuesday with top Republican senators to discuss the Supreme Court vacancy left by the death of Justice Antonin Scalia.

Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellHouse to push back at Trump on border Democrats block abortion bill in Senate Overnight Energy: Climate protesters storm McConnell’s office | Center-right group says Green New Deal could cost trillion | Dire warnings from new climate studies MORE (R-Ky.) and Senate Judiciary Committee Chairman Charles Grassley Charles (Chuck) Ernest GrassleyOvernight Health Care: Drug execs set for grilling | Washington state to sue over Trump rule targeting Planned Parenthood | Wyoming moves closer to Medicaid work requirements Senate reignites blue slip war over Trump court picks Lower refunds amplify calls to restore key tax deduction MORE (R-Iowa) will both attend, White House press secretary Josh Earnest said Thursday.

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The spokesman said the meeting was arranged "after a number of conversations, some more awkward than others."

"Ulimately, the president is going to fulfill his duty and it will be up to the Senate to decide if they're going to fulfill theirs," Earnest said of the leaders' handling of the nomination process.

They will be joined by Harry Reid Harry Mason ReidBottom Line Brennan fires back at 'selfish' Trump over Harry Reid criticism Trump rips Harry Reid for 'failed career' after ex-Dem leader slams him in interview MORE (Nev.), the top Senate Democrat, and Judiciary Committee ranking member Patrick Leahy Patrick Joseph LeahySenate plots to avoid fall shutdown brawl Booker wins 2020 endorsement of every New Jersey Democrat in Congress The Hill's Morning Report - Can Bernie recapture 2016 magic? MORE (D-Vt.).

The scheduling follows a day of public wrangling between the White House and Grassley, who initially did not respond to the president’s request to speak in person about his Supreme Court nominee.

When Grassley was slow to respond to the invitation, the White House informed Grassley’s hometown newspaper, The Des Moines Register.

Reid blasted the Iowa Republican, saying he would go down in history as the “most obstructionist” chairman if he denies a hearing to Obama’s pick. Grassley responded that he didn’t care if he goes down in history.

Obama and his Democratic allies are trying to pressure Republican leaders to abandon their position to not conduct hearings or hold votes for the president’s nominee.

Democrats say such a move would be unprecedented and hurt the credibility of the court. But Republicans say it should be up to the next president, not Obama, to select Scalia’s replacement.

McConnell and Grassley indicated the meeting would do little to change their minds.

"We look forward to reiterating to him directly that the American people will be heard and the next Supreme Court justice will be determined once the elections are complete and the next president has been sworn into office," the senators said of Obama in a joint statement.

Obama also met with Sen. Orrin Hatch Orrin Grant HatchThe FDA crackdown on dietary supplements is inadequate Orrin Hatch Foundation seeking million in taxpayer money to fund new center in his honor Mitch McConnell has shown the nation his version of power grab MORE (R-Utah), a former chairman of the judiciary panel, on Wednesday to talk about the nomination process. The president or members of his staff have consulted with every member of the Judiciary Committee or their aides since Scalia’s passing on Feb. 13.

The president has said he is looking to name a nominee who has impeccable credentials and brings a nonideological approach to the law.

“A sterling record. A deep respect for the judiciary’s role. An understanding of the way the world really works,” Obama wrote Wednesday on the popular Supreme Court website SCOTUSblog.com.

“That’s what I’m considering as I fulfill my constitutional duty to appoint a judge to our highest court.”

-- This report was updated at 4:55 p.m.