The process of claiming from your insurer does not differ, the procedure that you follow is the same as you would with any other driver.
If the person liable for damages to an insured client is a person from another country, your insurance provider will still try and recover the damage. The tourist driver will still be governed by the same obligations as if they were a South African citizen.
In such accident cases, your insurer will follow up with the tourist driver and will do their best to get the visitor to settle the damage before leaving the country. However, should the person return to their country before the claim has been settled, your insurer has the option to decide whether it will be economically viable to litigate across borders.
Just another reason that it’s so important to have insurance! It’s not just about you – it’s about the other drivers on the road.