A coated glass or glass ceramic substrate with a local-area and/or full-area layer having haptic properties is provided. The layer has a haptically perceptible texture and includes texturing inorganic and/or polysiloxane-based particles that are fixed on the substrate by a layer-forming material. The particles cause protrusions on the layer and so produce the haptically perceptible texture. The substrate is also provided, at least partially, with at least one additional layer.