The crash occurred in the Kennedy Road and Queen Street area around 8:30 p.m. on Saturday.
Police said the vehicle had Alberta licence plates.
It was backing up when it struck two people walking outside the restaurant, police added.. The crash also injured one person inside the restaurant.
All three victims were taken to hospital. On Sunday, police reported none of the victims' injuries were life-threatening.
The driver fled the scene and has not yet been caught.