MP hopes Patagonian visit will help 'thaw' relations
Their sovereignty has been disputed for centuries. The islands have been invaded and fought over, leading to hundreds of deaths.
So how do you resolve the arguments between the UK and Argentina over the Falklands?
Enter David Davies and MPs on Parliament's Welsh affairs committee. Nine of its members will fly (business class, since you ask) to Buenos Aires on Sunday for what politicians like to call a fact-finding trip.
Their ultimate destination is Patagonia, where they will mark the 150th anniversary of the arrival of the first Welsh settlers. In their absence, Chancellor George Osborne will deliver his Budget and the Wales Office is expected to publish legislation to give the Welsh government control of some taxes for the first time. Ministers are also expected to give their response to the committee's recent report on the draft version of that legislation.
So why go? And why now? Committee chair Mr Davies told me: "We were invited by the Argentine government to come and visit. The Foreign Office were keen for us to go and visit because of, frankly, a lack of very friendly communication between the two countries for a number of years now. It's the 150th anniversary of the first Welsh landings in Patagonia.
No Cameron, but Clegg sticks to PMQs script on NHS
David Cameron may have missed prime minister's questions as he travelled in the Middle East, but Nick Clegg stuck to the Cameron script when it comes to Wales.
The deputy prime minister tried to deflect a question about the NHS in England with a reference to the NHS in Wales. (This devolved issue has, according to the Guardian's Polly Toynbee, been raised 29 times by David Cameron at PMQs).
Mid Wales council at centre of estate agent shake-up
It was news that appears to have passed most of us by. From next month, Powys County Council will take over the Office of Fair Trading's role regulating estate agents.
Or, as The Spectator's political editor puts it: Powys County Council reaches dizzy new heights. James Forsyth writes: "When I was first told this, I assumed it was a joke. Powys County Council might have many strengths but one struggles to see how they are qualified to be the lead enforcement agency for estate agents in London or Birmingham or, frankly, anywhere other than Powys.
How would Labour apply its new UK jobs policy in Wales?
It's a question I haven't been asked for days: "David, does this apply in Wales?"
"This" is what is billed as Labour's first manifesto policy pledge, its extended "jobs guarantee scheme". Under the plan, 18 to 24-year-olds out of work for a year will be offered a taxpayer-funded job for six months. It will be paid for - you've guessed it - by a bankers' bonus tax, and a cut in pension tax relief for top rate taxpayers. The Conservatives say Labour's sums don't add up - and some employers are sceptical.
St David's Day: they think it's all over - it is now
It's a marathon, not a sprint but the St David's Day finish line has finally been crossed.
It began a week ago with a gift of daffodils to the Commons Speaker and ended with this afternoon's Welsh affairs debate in the House of Commons.
MP warns NHS record could cost Welsh powers support
It was supposed to be a debate about a scandal in the English NHS.
But it took the (English) Health Secretary less than 10 minutes yesterday before he switched focus from the Francis Report on events at the Mid Staffordshire NHS Foundation Trust to healthcare standards in Wales.
MPs seek answers over future of Severn bridges tolls
It was, suggested more than one MP, the Roy Hughes Memorial Debate.
MPs spent 90 minutes this afternoon discussing tolls on the Severn bridges, a subject close to the heart of the late MP for Newport East. You can judge for yourself later whether they emerged any the wiser about the future of the bridges.
Silk sequel gets a considered response at Westminster
So what happens next? Ultimately, it is is for Westminster to decide whether or not to give away the powers Silk says should be transferred to Cardiff Bay.
Welsh Tories display united front in Downing Street
I counted them all in and I counted them all out.
Conservative Members of the National Assembly for Wales, two Wales Office ministers and one MEP arrived this evening for their annual meeting with the prime minister in Downing Street.
MPs and peers celebrate St David's Day at Westminster
It may still be February outside the Palace of Westminster, but inside it is already St David's Day.
As my photograph shows, Speaker John Bercow took delivery of a bunch of St David's Day daffodils this morning from pupils at Ysgol Gymraeg Llundain.