I hoad no trouble opening a UA Gold Visa for the miles when I had a Platinum and Business Platinum. Three months later I was turned down for a Marriott Business card (too many cards) Two months later I was opening a second Chase checking account (Continental Promo) and asked my Chase banker to get me a Chase Continental MC at the same time. 3 days later I had the new card with a 12K limit and NO credit pull! I say if you have bank accounts with Chase try asking your banker. They're anxious to give you more business