Communication has broken down between President Donald Trump and Senate Majority Leader Mitch McConnell -- the two men haven't spoken for weeks -- and McConnell has privately said he doubts whether Trump can save his presidency, The New York Times reported on Tuesday.

"What was once an uneasy governing alliance has curdled into a feud of mutual resentment and sometimes outright hostility," the Times said.

The tense standoff between the two men could imperil legislation to cut taxes or even keep the government open. And that, in turn, could affect the U.S. economy and financial markets.

But even amid the high stakes, "Mr. Trump and Mr. McConnell are locked in a political cold war," the Times said.

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According to the Times, the long-time Kentucky senator "expressed horror" following Trump's comments in the aftermath of the recent violence in Charlottesville, Va. He has also questioned Trump's basic understanding of the presidency.

Trump has openly criticized McConnell for failing to get a health care bill passed in the Senate.

Trump and McConnell did not provide comment to the Times for its article. But Don Stewart, a spokesman for McConnell, told the Times that the two men had "shared goals," including "tax reform, infrastructure, funding the government, not defaulting on the debt, passing the defense authorization bill."

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This article was written by a staff member of TheStreet.