In the League of Lost Languages, the Alps, similar to the Caucasus, are home to several (fictional) non-Indo-European languages in addition to the Germanic, Romance and Slavic languages spoken there in the real world. (The idea behind this is that the Alps, being similar in size and landscape to the Caucasus, could harbour a similar wealth of languages.) These languages are grouped together als Palaeo-Alpine languages. Like the Caucasian languages, they do not form a single family.
The Palaeo-Alpine languages are what the Second Caucasus Project is about.