"I think there is blame on both sides", the president said at an August 15, 2017, press conference at Trump Tower in Manhattan.
The weekend violence at the Virginia college town has inflamed racial tensions nationwide and renewed concerns over hate groups after Trump blamed both anti-racism activists and white nationalists.
Both senators have publicly called on Trump to issue a more emphatic statement rejecting white nationalism amid the continuing backlash over his equivocal response to the clashes in Charlottesville, Virginia.
Trump then invoked Heyer's name to remind Graham, an opponent to Trump in the 2016 Republican primary race, that he won the senator's home state of SC.
Graham responded a short time later in a statement of his own.
Although the two men have been at odds for much of Trump's presidency, Graham's remarks during a CNN interview August 16 began the Twitter feud between the two Republicans.
Although Trump's press conference was watched and reported on by countless news outlets, he then claimed that the media is not reporting exactly what he said. The senator accused the president on Wednesday of drawing a "moral equivalency" between the white supremacists ralliers and the anti-racist counterprotesters.
"Your tweet honoring Miss Heyer was very nice and appropriate". Such a disgusting lie.
Duke, a former Ku Klux Klan grand wizard, was pleased with the President's words and took to Twitter following Trump's comments Tuesday to thank him for his "honesty and courage".
"For the sake of our Nation - as our President - please fix this", he continued. "The people of SC will remember".
"History is watching us all", added Graham, who has been one of the few Republican lawmakers to directly denounce Trump's equivocation earlier this week between white supremacists and those who were protesting them in Charlottesville.