Uninflicted accident with foreign participants – procedure?

Before that my mobile phone rings and the police are on it, which informs me that a Czech truck has come when shunting against my properly parked car. Damage: bonnet slightly closed (are only a few cm, but smells like a completely new hood), fender left in the bucket, bumper as well. I called my insurance (central) but she thinks she has nothing to do with it. Then I called my insurance agent in person again. This w ill take a look at the car on Friday when I’m back home (photos I took, the data of the accident opponent including green card and personal exchange by the police I also have). However, I somehow have a bad feeling that I have now five days to have the broken car standing and nothing to do. At grüne-karte.de I could enter the insurance of the accident opponent and thus got to an “AVUS-SSH GmbH” which for damage regulation with this Czech However, I haven’t called yet. Does anyone know or has anyone had similar experiences here and can tell me something about the further process, possibly the amount of damage, payout, duration of the whole action? I have never had such a thing before and am therefore relatively clueless.