For years it has been known as an epic off-piste destination - the complete opposite of its neighbours Les 2 Alpes, Alpe d'Huez and the ski factories further north.
It's just received recognition from National Geographic, who have placed it among its Top Seven resorts. There are any number of YouTube videos where you can inspect the skiing from your armchair: here is an example to give you a flavour.
But its future is now in question: the ancient gondola lift is now in need of renovation - and the contract to run the set-up is now up for grabs.
Many fear this will lead to a takeover by one of the big lift companies, such as Compagnie des Alpes, heralding the end of its cherished status as THE unspoilt place to go.
A campaign has been launched. Although their bid to be on the list of bidders invited to put in a tender has failed, their mission to protect La Grave continues. Follow Signal La Grave on Facebook and Twitter for more.