The Icelandair credit card is no longer issued by Barclaycard. The card is issued by First Bankcard which is a division of First National Bank of Omaha. The application form for the new Icelandair MasterCard credit card should be available on the Icelandair’s website. The Icelander credit card doesn’t give many points per dollar spent (especially if it is a no annual fee version) so you may want to consider getting a more rewarding credit card. There are a lot of regular credit cards with miles, points and cash back rewards that can be more rewarding than an Icelander credit card.