If your AMEX card is rejected and the reason cited is something that you can solve, you can try to find out how best you can do it. Once you are aware of it, solve it, submit the details, and reapply your AMEX application or appeal for opening the previously submitted application. Raise a request by calling them and requesting them a second review of the application. To reconsider your application, you can call (800) 567-1083.