AIG is launching an excess liability product with limits up to £35m.
It covers public/products liabilities, employers' liabilities and third party motor.
The product, called excess elite, also offers extra back-up for corporate clients.
Companies can call in communications experts to deal with the media, staff and customers when major damage threatens to breach primary liability insurance limits.
The same trigger allows for medical and vocational rehabilitation to get victims of back to health as soon as possible.
Phil Sharpe, senior vice president of AIG Europe's casualty division said: "With liability awards going up, brokers and clients are scrutinising insurers' security and longevity.
"Excess Elite has large limits, imaginative value added extensions and the convenience of a one-stop excess solution which brokers can recommend to their clients with confidence".
