To eat tapas in Leitariegos you can go to the cafeteria or a restaurant within the ski resort, but in the nearby towns there are other options. For example, in Caboalles de Abajo (10 km away) you can enjoy tapas at Portal de León, an apartment hotel with a wide variety of tapas. You can also visit the bar Sardón, where they serve several octopus tapas in a cozy atmosphere.
Another option is near Villablino, 14 km away, at Royvi. It is a local spot with a more informal appearance and tone where you can eat good meat and local products both from the menu or as tapas.