The present disclosure relates to a wall structure of a building, including a first plate-shaped support body made of a solid foam material, the surface of which to be directed toward the inside of the building adjoins an insulation layer, a first wavelike metal wire grille, which is foamed at least partially into a surface of the first support body to be directed toward the outside of the building, and first fastening elements, which penetrate both the first metal wire grille and the first support body in order to fasten support elements, between which the insulation layer is accommodated.