A wall lining acting as a cooling siding is formed by a set of interconnectable modules for lining walls, used for renovating the structure and architecture of buildings. The lining consists of a modular system that can be mounted at a certain distance from the wall being lined, creating a thermo-acoustic insulation and passive cooling. It corrects the outer, aesthetic appearance of the building, instantly providing a texture having a new appearance which is simple and economic to apply, and which in the past was impossible to obtain. In order to be applied like a mask to outer walls, it is produced and distributed as connectable parts, that is, as complementary modules with fittings that allow the modules to be interconnected, forming a continuous and extensive surface to line the outer wall of a building. It represents a lining solution that is cheap and easy to apply, either to give a particular architectonic appearance to a building or to embellish the building. It is composed of panels secured to the wall by clips designed to be applied to all types of wall, including unfinished walls, or walls that are out of plumb or are not properly plastered. When applied to an inner or outer wall, it instantly transforms these walls. A wall lining is a cheap and accessible solution for all types of wall, covering the existing finishing, creating a new texture and functionality, like those of a noble and special finishing, with textures and permanent colours that imitate known linings, such as textures and colours that imitate granite or marble. Hot air can be guided outwards through apertures in the panel, cooling the assembly and the wall.