Refer them to us, because this could place your claim in danger. Usually, the insurance company will try to trick you into admitting to liability for the accident. The considerations are not the same for a drunk driving accident, where the other driver is clearly at fault. However, admitting to things like speeding or texting at the time of the accident can cut your recovery. This is why you do not want to talk to them about the accident.
In addition, they may try to get you to say something that can undercut your claim for damages. They may try to argue that your injuries are not as serious as you claim, and you, therefore, do not deserve as much money.
If the insurance company tries to call you, remember that you are under no obligation whatsoever to speak with them. If you have an attorney (and you should), simply refer them to your attorney and say no more. When dealing with an insurance company, the less you say, the better off you are.