Yes, I was "asked nicely" by the police after an accident where the other party was clearly in fault to foot the bill as I had the 1st Class Insurance and the other party had only the state insurance.
I was assured by the police that there would be absolutely no implication for me I would accept the fault.
On another accident, I hit a pedestrian and he was severely hurt, I called my lawyer and let him handle everything.
Finallly, the pedestrian was declared in fault but, avoiding to putting him in more difficulties, I accepted to 50/50 fault and my insurance would pay his medical bills.
My advice: if you have an accident, CALL YOUR LAWYER AND LET HIM HANDLE EVERYTHING!!!!