Obtaining International Health Insurance for treatment of an existing ailment may be very difficult to obtain. Whenever you purchase any insurance cover you need to make a declaration of your current state of health any ailment you may be having. Mostly, these ailments are not covered under the new policy that you obtain either completely or for a pre defined moratorium period. You may none the less look up the international health insurance policies offered by Cigna, Aetna, Bupa and Good Health.