Take a day trip from Reykjavik, Iceland: Kulusuk is a 2 hour flight from Reykjavik during the summer months on Air Iceland. These trips are sold out months in advance, so plan as early as you can.
There’s no real border patrol between Iceland and Greenland. Just ask someone at the airport to stamp your passport.
Spacious town where tourist get through on the way from the airport to other parts of Georgia. I loved it as there are no crowds and local people are genuinely nice and helpful.