Greenland recently played in the Island games: http://en.wikipedia.org/wiki/Men's_Football_at_the_2013_Island_Games Only lost 1-0 to Bermuda in the final
Sorry to bring up an old topic. I've been quite interested in this topic for years, I wonder whats the status for the country. Recently Gibraltar has been accepted for the 2016 UEFA Qualifiers and the see this as a big step up. Considering 1999 was a total failure for them. Anyways It'll be great to see them play for Concacaf.