Wilderness huts are special free shelters in the backcountry, meant for short stay. Although comfort varies, mostly these shelters have at least a fireplace and a place to put an isomattress.
Especially in more populated areas, the shelters are often quite close to a settlement and so within walkable distance from a (main) road.
In Andorra there are 26 mountain shelters. See here.
Throughout the mountainous regions of France you'll find free shelters to use. The website Refuges.info lists most of them. Unfortunately only in French. Select a region and look for Cabane non-gardée.
In the Carpathians there are some informal huts one can use. They are marked on 1:50.000 hiking maps of the region.
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