There is a big difference between your own insurance company asking for a recorded statement and the other party’s insurance company making the same request. With your own insurance company, there is most likely fine print in the policy that says that you agree to cooperate with the company in its investigation and that failure to do so can constitute a breach of contract. However, this does not mean you must provide a statement NOW. It is always better to consult with a personal injury attorney first and ideally to have him or her present on the call. When it comes to the other party’s insurance company, you do not have the same obligation. In addition, the opposing company has a financial incentive to not be entirely clear with their motives and intentions. Be wary. A recorded statement can hurt you but not help you so do not agree.