Insurance policies may provide coverage for wrongful death claims, but the amount offered by the insurance company may not fully account for the losses you and your family have suffered. While some policies—such as business liability insurance—may cover wrongful death, they often fall short of compensating for the full extent of damages.Insurance policies may provide coverage for wrongful death claims, but the amount offered by the insurance company may not fully account for the losses you and your family have suffered. While some policies—such as business liability insurance—may cover wrongful death, they often fall short of compensating for the full extent of damages.