Dr. Ben Carson, a Johns Hopkins neurosurgeon who is seen as a rising star among conservatives, will be at the meeting, according to CNN. The meeting will be held at the Willard Hotel.

Besides Cain and Carson, the other attendees are former Ohio Secretary of State Ken Blackwell, anti-abortion activist Alveda King, National Black Chamber of Commerce president Harry Alford, radio commentator Armstrong Williams, Congress of Racial Equality spokesman Niger Innis, Brooklyn Christian Cultural Center founder A.R. Bernard, activist Star Parker and George Mason University professor of economics Walter Williams.

The focus of the meeting will be on "how to collectively expose the damaging effects of the current administration of the black community," a Cain spokesman told CNN.

"Individually, we are fighting the establishment media, establishment politics, and the narrow-minded perceptions and deceptions that are making us weaker as a nation," Cain said in a statement. "Collectively we can amplify our efforts to help shape a stronger course for the nation and 'main street' America."

Carson, who first received national attention for criticizing President Obama  at the 2013 National Prayer Breakfast, recently stepped down as commencement speaker for the Johns Hopkins University School of Medicine after students protested comments Carson made about same-sex marriage. 

Cain and Carson reportedly sat down for a private dinner on Sunday, according to National Review

—This story was updated at 11:48 a.m.