The pair along with a group of friends, hit Racer's Edge Indoor Karting in Burbank, California and then continued the night at an Hollywood nightclub, where they arrived separately, reports the Daily Mail.
The 'Where Have You Been' singer apparently beat Kardashian at the race track.
Rihanna recently sat down with Oprah Winfrey on her OWN programme Next Chapter, where she opened up about her family, her career and ex-boyfriend Chris Brown.
Rihanna and Brown ended their relationship in 2009 after he assaulted her before the Grammy Awards.
Kardashian was previously linked to Rita Ora, but the singer denied she is dating him.
Watch Rihanna's 'Where Have You Been' video below: