Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellGraham: GOP will confirm Trump's Supreme Court nominee before the election Trump puts Supreme Court fight at center of Ohio rally The Memo: Dems face balancing act on SCOTUS fight MORE (R-Ky.) is pushing back against reports of a rift with President Trump, saying Wednesday he and the president have shared priorities.

"We have a lot of work ahead of us, and we are committed to advancing our shared agenda together and anyone who suggests otherwise is clearly not part of the conversation," McConnell said in a statement.

White House press secretary Sarah Huckabee Sanders also issued a statement later Wednesday saying Trump and McConnell "remain united on many shared priorities, including middle class tax relief, strengthening the military, constructing a southern border wall, and other important issues."

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Trump and McConnell will "hold previously scheduled meetings following the August recess to discuss these critical items with members of the congressional leadership and the President’s Cabinet," Sanders said, adding that staff were coordinating on the details of the meetings.

The comments came after The New York Times and CNN reported on Tuesday that Trump and the Senate GOP leader haven't spoken in weeks.

An Aug. 9 conversation turned into a “profane shouting match” between Trump and McConnell, according to the Times. During the call, Trump reportedly accused McConnell of mishandling ObamaCare repeal efforts and of not protecting him from congressional investigations into potential ties between members of Trump's presidential campaign and Russia.

A spokesman for McConnell said he wasn't aware of any other calls between Trump and the GOP leader since Aug. 9, but noted lawmakers were out of town for the annual August recess.

"That’s not terribly unusual during a recess. Staff and others have been in daily contact. The Treasury secretary was with the leader in Louisville on Monday, etc," the aide said, referring to Treasury Secretary Steven Mnuchin Steven Terner MnuchinShutdown clash looms after Democrats unveil spending bill Lawmakers fear voter backlash over failure to reach COVID-19 relief deal United Airlines, unions call for six-month extension of government aid MORE.

McConnell added on Wednesday that "the president and I, and our teams, have been and continue to be in regular contact about our shared goals" including tax reform, funding the government, defense policy and healthcare.

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McConnell sparked Trump's ire earlier this month after the GOP senator said Trump's "excessive expectations" were partly to blame for the narrative that Republicans hadn't accomplished anything.

Trump lashed out at McConnell on Twitter over his comments and left the door open to suggesting he should step down from the Senate majority leader spot if he can't make good on GOP campaign promises.

McConnell, like many GOP lawmakers, separately pushed back against Trump's rhetoric on the violence at a white supremacist rally in Charlottesville, Va., saying in a statement that “there are no good neo-Nazis.”

McConnell's comments come hours after Trump doubled down on his push for Senate Republicans to get rid of the 60-vote legislative filibuster on Wednesday, something McConnell has said won't happen.

"If Republican Senate doesn't get rid of the Filibuster Rule & go to a simple majority, which the Dems would do, they are just wasting time!" Trump tweeted.

GOP senators have bristled over attempts by Trump and other White House officials to micromanage the Senate's floor schedule and weigh in on the chamber's rules.

McConnell, according to The New York Times, has also privately questioned if Trump can succeed after a summer full of controversies.

And people who have spoken to McConnell told the Times that McConnell, known for being publicly tight lipped, is voicing skepticism about Trump’s willingness to learn how to govern and his ability to lead the party into the 2018 midterm elections.

Updated: 5:55 p.m.