In case of a medical emergency you can call 991 for an ambulance or +260 977 770302 for an SES ambulance. In extreme cases where you may need to be evacuated to South Africa you should liaise with your medical insurance provider and SES so that they can discuss the logistics with each other. SES manage the ground handling such as liasing with the airport, the medivac aircraft and ambulance transfers. Whilst SES will charge for their services if you are not insured with them, your own insurance provider should pick up the bill provided you are covered.
Livingstone Central Hospital can provide in and out patient services, x-rays, small surgeries and nursing care. They should be ok for small scrapes and common illnesses such as colds, stomach upsets etc. For anything more serious you should contact your medical insurance provider about other options.