The Falkland Islands/Malvinas are situated about 500 km East of the Southern shores of the Argentine Republic. The archipelago includes two main islands: East and West Falkland, and about 200 smaller islands; the total area is about 12 173 square kilometres. The living conditions are rather hard: the windy and cold weather and rocky terrain are not the most welcoming. The economy is based on fishing and sheep farming, but in 2001 reindeer were introduced as part of the farming effort. Tourism is also a source of economic growth, along with deposits of hydrocarbons discovered in the 1990s. The Islands’ economy is self-sufficient, despite the cost of defence. These small and unwelcoming islands are in the centre of a dispute between the United Kingdom of Great Britain and Northern Ireland and the Argentine Republic over the sovereignty over this territory that has been raging for about two centuries. In 1982, war broke out over this issue and to this day diplomatic efforts have failed to find an acceptable solution to the dispute. From time to time, the United Nations and the international community cast their focus to issues concerning this small territory, its society and the two States disputing over it incessantly. Sometimes there is hope of changing the status quo, but it usually fades quickly, even though all the participants are aware that the uncertainty in the territorial order is both dangerous and problematic. The aim of the article is to study the possibility of applying the people’s to self-determination to the settlement of this dispute.