If your in a car accident who's insurance company do you call, your's the other person's or both?

I was in a car accident a few days ago, in which the accident was not my fault, ( the roads that we were driving on were wet and the other driver's car some what lost control and skidded into mine coming around a curve). I called my insurance after the accident, but I only had liability coverage...(my insurance company will only pay for property damage resulting from the accident and for damage done to the other party's car, but not mine. The other driver apparently has the same type of insurance as me. Anyway am I supposed to call the other persons insurance company and see if they will pay to have my car fixed (since it was kind of the other drivers fault), or is calling mine enough?