Icelandair Adds Direct Seasonal Flights Between Dulles-Reykjavik CheapOair Staff May 19, 2011 general Icelandair to Make Direct Flights to Dulles Icelandair announced seasonal service between Dulles and Keflavik International Airport Thursday. The airline will make direct flights four days per week. It will run from May to January and then restart in March. It also marks the return of Icelandair at Thurgood Marshall Baltimore-Washington International Airport. They pulled out of the airport in 2008. Source: Washington Post