Private Ambulances are used in some areas around Ausralia and and globally.
In Australia no private Ambulance is capable of responding to a medical emergency as a primary response unit. However, private Ambulances and Ambulance Services do exist in the role of secondary transport. In Melbourne, there are multiple private Ambulance services which are capable of providing transport for injured or sick patients who have been assessed by paramedic in the Metropolitan Ambulance Service of Victoria as low priority and (although they require treatment in a hospital) they do not need any paramedic assessment or interventions enroute to hospital.
Othe private Ambulances in Australia include hospital to hospital transport services, which may be funded by the specifica hospital (both public and private).