It also calls on Attorney General Jeff Sessions to "investigate thoroughly all acts of violence, intimidation, and domestic terrorism by White supremacists, White nationalists, neo-Nazis, the Ku Klux Klan, and associated groups" and to "improve the reporting of hate crimes" to the Federal Bureau of Investigation.
"What we want to see from our President is clarity and moral authority", Scott said.
Scott's version of the meeting was at odds with a description given to reporters by Sarah Huckabee Sanders, the White House press secretary, in the White House briefing room.
But one day later Trump was defiant and returned to his previous stance, saying both the protesters and counter-protesters were to blame.
But lest anyone think that this is a bold stand against Trump by congressional Republicans, the Washington Post reports that House Republicans objected to Democratic language that would have criticized the president's response.
Details about their conversation were not discussed publicly, however Sanders said it was "certainly a conversation that Sen". Tim Scott to discuss race relations in wake of the incidents in Charlottesville, Virginia.More news: Hurricane Jose hangs on in the Atlantic
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"I think that will be an ongoing process", she said.
Trump later said that "many sides" were responsible for the violence at the rally, angering Republicans and Democrats in the national spotlight.
Time will tell, however, just how far Scott's message resonated beyond the 40 minutes that the S.C. Republican spent Wednesday morning with Trump in the Oval Office.
The resolution also acknowledged the deaths of two Virginia State Police officers whose helicopter crashed as they patrolled the Charlottesville protest. The White House misidentified him as Tom Scott.
Last month, the United Nations issued a rare warning over what it called "alarming" racism in the US.
Director of the National Economic Council Gary Cohn, left, Treasury Secretary Steve Mnuchin and President Trump at Trump Tower on August 15 in New York City.
He has also accused the media of being dishonest in reporting his remarks, telling his supporters at a rally that reporters "don't want to report that I spoke out forcefully against hatred bigotry and violence and strongly condemn the neo-Nazis the white supremacists and the KKK".