Kosovo debuted at 2008, the year when they declared their independence, in Vietnam. Vietnam didn't recognize Kosovo as a independent state as well but a special reconsideration was granted. They competed in Brazil last 2011 although Brazil doesn't recognize them as a state.
Kosovo has been placing since 2008 (except in 2010). The highest placement to date is 2nd Runner Up in 2009 with Marigona Dragusha.
Kosovo, rather, is eyeing for their debut at Miss World this year in Indonesia. While one of the runners up will compete in Miss Earth 2013 which may either be held in Singapore or Macau.