Two senators told The Hill newspaper that Graham was trying to smooth things over between the two, whose rift deepened when Trump left office and lobbied attack after attack on McConnell, who didn't support Trump's attempt to overturn the 2020 presidential election results.
'Lindsey was with the president this last weekend. From what I understand Trump said something complimentary about Mitch,' said a Republican senator, describing Graham's efforts to help bury the hatchet between McConnell and Trump.
The Senate currently sits at an even 50-50 split. Republicans are defending 20 seats, including two in states President Biden won in 2020, while Democrats are defending 14 and none in states carried by Trump.
But McConnell did hold off on bringing Trump's second impeachment trial to the Senate until after Trump was out of office.
Trump blamed McConnell for Republicans losing control of the Senate in January 2021 when two special Senate elections in Georgia went for Democrats, making Senate Democratic Leader Chuck Schumer the majority leader.
Trump made calls to allies in the Senate and other supporters to gauge if they too felt it was time for a leadership change but lawmakers and their aides said there was apparently little interest in finding a Kentucky Republican to run against McConnell.
Additionally, Trump lashed out at McConnell at the end of August for giving President Joe Biden a win by allowing the $1.2 trillion bipartisan infrastructure bill to pass. 'Nobody will ever understand why Mitch McConnell allowed this non-infrastructure bill to be passed. He has given up all of his leverage for the big whopper of a bill that will follow. I have quietly said for years that Mitch McConnell is the most overrated man in politics - now I don't have to be quiet anymore,' Trump said in a statement.