Wasn't sure where to post this but my wife's car has been in an accident and I need advice on how to go about claiming insurance.

Wife's car is Toyota Camry (no snickering please and other car is Nissan something.

So the Toyota is leaving the multi level carpark at the shopping centre and it has one of those helical (or spiral) ramps to get up or down to the next level. This one is two lanes, one for cars going up and one for cars going down.

So halfway down she has to stop as there is a queue so the Toyota is stationary.
Up the ramp comes the Nissan and it gets a little bit past the Toyota (behind and to the right from Toyota perspective) and then stops.

Then it rolls down the ramp in a straight line and the back of the Nissan hits the right rear door and wheel arch of my wifes car. This is probably at a 70 or 80 degree angle because of the way the ramp curves around.

So the back of the Nissan is pretty badly damaged but the Camry door is slightly dented so you cannot open the door properly.

The owners of the other car admitted it was their fault after some cursing. I think they must have stalled or forgotten to brake and their car just rolled down the ramp.

Sorry for the long post.

So now the problem is we only have 3rd Party insurance, so our insurance company doesn't want to get involved as it is not our fault.
We have to contact the offending drivers insurance company to make sure that they have made a claim.
Unfortunately I cannot seem to contact these people on their home number.
I have got plates and drivers licence details.

Should I wait a bit longer and keep trying to contact them (it has been a few weeks) or should I call the coppers?

Thanks guys.