I was advised to pay some for beginning before he gets paid by insurance later after he recovered, but I believe that was more than enough for such reason.
Today I was told by insurance agent at police station that what I paid looks good if case goes to court and "do not pay" any cash to them, they will be paid by us.
I guess everything is almost clear now. (My 1st time accident). I hope never happens again, but I learned how the game works here. Somehow different than the US, insurance to insurance.