Composite matting comprises a matting web with a peak-and-valley structure and a reinforcement in the form of a filament and/or ribbon system, which is used as a supporting base for the coating of walls. The reinforcement consists of glass filaments, aramide filaments, silica filaments, metal or synthetic polymer filaments and/or ribbons and acts in the direction of loading, during which it either prevents a change in shape or is limited to a prefixed mass in order to adjust the thickness of the composite matting.