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Icelandair via Dealbase offers 1-way flights to Reykjavik, Iceland, with prices starting from $198.70. That's the lowest price we could find for select routes by at least $335. Book this travel deal by July 30 for travel from September 4 through December 15. 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 from Chicago, IL (ORD) with arrival in Reykjavik, Iceland (KEF) on September 17. All prices, dates, and booking details were valid at the time of publication.