The Cooper team scored 14 World Championship points during 1961 but none were scored with the T58, the team reverted to the older T55 and the newer Cooper T60 for 1962.
The car was then sold to the Reg Parnell Racing team, who entered it in one race only, the non-championship 1962 Mexican Grand Prix, fitted with a BRM V8 engine. Driver Moises Solana withdrew from the race, claiming that the car was too slow, although his times were faster than at least four other drivers who did take part.[4]