Door-to door-enquiries have been carried out in Beighton after a wheelie bin was set alight next to a car on a Sheffield street.
Flames spread to the Toyota Rav 4, which had been parked in Hursley Drive, Beighton, when the arsonist struck.
Emergency services were alerted to the blaze on Sunday night.
Witnesses to the arson attack or anyone who knows the culprit should call South Yorkshire Police on 101.
Information can also be passed to Crimestoppers on 0800 555111.