I'm in Canada and Amex uses TransUnion.

I've applied for 10 Amex in the last year, 4 of them in the last 2 months.

All of them went well except the last 2. For the 2nd to last one (Platinum) I was declined, when I called in and "pushed" they asked me to cancel other Amex Cards (I cancelled 3) and they gave me the platinum.

For the last one (SPG Consumer) I was denied again, I called and pushed and I offered to move the limit from my other Amex Credit Card and they agreed.

Be careful with "Upgraded Cards" as you don't usually get any or all of the Welcome or Refer a Friend Bonuses.