Salvadori raced for the factory teams of Cooper, Aston Martin, Vanwall, BRM and Connaught. He also drove F1 Ferrari Maserati, Cooper - Maserati and Connaught for private entrants. His best result in the FIA F1 World Championship was 4th in 1958 behind Mike Hawthorn, Moss and Brooks.
The son of a jockey, Brian started racing in 1959 with an Austin A30. He raced saloon cars and sports cars before aquiring a Lotus 11, a Lotus 18 and an Ausper T4 Formula Junior. In 1965 he raced Lotus 24 Coventry Climax in Formula Libre and non-championship F1 races. After racing he turned to training race horses.