Maybe they could have a game of Rugby over it
The arena would have to be in a third country, with a 50/50 split between Argentine and British supporters, so any pre or post match violence is not one sided.
No matter who wins, a war is sure to erupt after the '2008 Rugby Incident' and all the arm-chair warriors will have some sport also.
Seriously though. The future of the Islands is up to the inhabitants. Nationalist rhetoric from politicians we have all seen before, and if followed through, will cement an uncomprimising response from Britian.