Icelandair via DealBase offers international roundtrip airfares from Kansas City, MO, with prices starting from $398.95. That's the lowest price we could find for select routes by $171. Book this travel deal by June 1 for travel from July 15 through October 1. Buy Now Tips On the DealBase landing page, click "Iceland Air" in the top line to see this sale. We found this price on flights departing September 2 from Kansas City, MO (MCI) with arrival in Reykjavik, Iceland (KEF), returning on September 6. All prices, dates, and booking details were valid at the time of publication.