What would happen if Argentina and the Falkland Islands resumed links and Argentinian people began settling on the Falkland Islands. Life would become much much easier for the people on those islands if they had relations with Argentina restored. Right now, the Islands are stagnating. Then after a period of time a referendum was called and a majority of people supported Argentinian sovereignty? Would the UK government really keep the line about "right to self-determination" going?
From what I gather, if you can support yourself there, you can move there. The Argentine government should just fund a couple of thousand people to move there and let them eventually get citizenship.
I guess there's some sort of restriction on South American people moving there though. In any other country that would be considered prejudice and xenophobic, given than 99% of the people who live there are British in origin and 2/3 were not even born there.