However, the the Saturday flight from Punta Arenas apparently does stop in Rio Gallegos once a month. See this post from Lonely Planet "thorn tree forum":
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http://www.lonelyplanet.com/thorntree/thread.jspa?threadID=1257977&tstart=0 -------
Travel to the Falkland Islands is serviced either via South America or on a direct flight from the UK.
The Falkland Islands International airport at Mount Pleasant is serviced by direct MoD charter flights from RAF Brize Norton, Oxfordshire, England & commercial flights from Santiago, Chile. Both services are accessible to civilians of any nationality provided current immigration requirements are met.
Visitors travelling from or via South America can connect with the LAN flight from Santiago, Chile, via Puerto Montt and Punta Arenas to the Falklands operating every Saturday. Once a month, usually on the second Saturday, on departing Punta Arenas, the flight calls at Rio Gallegos, Argentina. The return flight from Stanley via Rio Gallegos occurs one week later.
The direct charter flight from UK:
This flight takes place approximately 6 times every month. RAF Brize Norton is located near Carterton, Oxfordshire, England. The nearest railway stations are at Swindon and Oxford. There is no public transport between these stations and Brize Norton, however, taxis are available and can be booked in advance; Travel information can be found here.
Journey time to Mount Pleasant Airport, 35 miles to the southwest of Stanley is approximately 18 hours including a refuelling stop at Ascension Island.
Jorge Daniel Barchi.
Buenos Aires.