Two women had flagged down a taxi in Donvale around 1.10am Sunday (AEDT), but a short time into the journey, an argument started and the cabbie stopped on Springvale Road near Serpells Terrace, ordering the women out.
As the pair were leaving the cab, the driver allegedly drove off, dragging a 41-year-old Mooroolbark woman along the road, police said.
She was taken to hospital and treated for facial injuries.
Police have urged the driver, who they allege failed to stop at the scene, to come forward.
Nunawading police are also seeking witnesses to the incident to contact Crime Stoppers.
Source: Sky News Australia