The announcement that Falklanders would hold a referendum on their "political status" comes as the islands prepare to mark the 30th anniversary of their liberation.
Three decades after Margaret Thatcher sent 27,000 troops and more than 100 ships to repel the Argentinian invaders, Buenos Aires continues to set its sights on claiming the territory it calls Las Malvinas.
But the Falkland Islands government said it hopes a referendum will send a firm message to Argentinian president Cristina Fernandez de Kirchner that islanders want to remain British.
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According to the poll, conducted for The Irish Times, the country chose to liberalise its laws by 68% to 32%.
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The president welcomed the North’s conciliatory response to his Thursday letter withdrawing from the summit.