Besides football, in track he was a part of the 4 × 200 metres relay team that set a national junior college record.
In 1961, he was signed as an undrafted free agent by the Dallas Cowboys,[2] but because head coach Tom Landry felt he lacked size for the physical play that was needed in NFL at the time, Chief talent scout Gil Brandt called the AFL's Dallas Texans head coach Hank Stram and suggested he give Grayson a look.
Grayson held the AFL record for longest interception return for a touchdown, 99 yards, against the New York Titans in 1961.
He had an interception off George Blanda in the Texans' 1962 double-overtime championship game victory over the defending AFL champion Houston Oilers.
[4] After football he opened different businesses, which included one of the biggest nightclubs in Southeast San Diego during the seventies.
[5] His son, David Lee Grayson Jr. played linebacker in the NFL from 1987 to 1990 with the Cleveland Browns and in 1991 with the San Diego Chargers.