The Argentine military is in a far worse position than the British. Whilst the British military has been cutback in numbers the technology of those forces that are available far outweighs that available to the Argentines, much of their forces still being equipped with that which wasn't sent across the sea to later be destoryed or captured by the British.
Everybody always assumes next war fought will be the same as the last.
A deal done with another neighbouring country or a faraway one (famous for its food after the pub) to supply some of the muscle to aid Argentina and get oil leases as a repayment is another way of looking at what could happen.