I think I may have a solution to this one.....
From what I can gather, Argentina is desperate to own a windswept lump of rock, miles from nowhere, devoid of civilisation and with nothing to do other than spot sheep (yes I did say "spot").
Said lump of rock needs to have its own airfield, and maybe a smaller one thrown in........ so in return for abandoning their claim on the Falklands, let's offer them
New Zealand! It'll save the taxpayer the cost of maintaining an interest
11,638 miles from the UK and the even higher cost of subsidising the armpit of the universe.