A wound dressing device adapted for cooling (10) designed to promote healing of a wound to which it is applied, in which the dressing device (10) comprises: - a wound covering (12) having a contact layer with the wound (16) with a surface of contact with the wound (20); - a wound treatment material (40) contained in the wound contact layer (16); and - a heat absorption layer (50) in heat flow communication with the wound contact layer (16), in which the heat absorption layer (50) is adaptable to remove heat from the layer of contact with the wound (16) and reduce the temperature of the contact surface with the wound (20) below room temperature, to provide the wound dressing device adapted to cool (10) in order to promote healing of the wound. in which the wound contact layer (16) is a porous matrix (30) that allows aqueous fluids to diffuse freely in and through the matrix, in which the matrix comprises a fibrous material (32) that is impregnated with the wound treatment material (40), in which the wound dressing device adapted for cooling (10) is characterized in that the material for wound treatment (40) comprises a natural Hyaluronic Acid composition and in which the layer of Heat absorption (50) comprises a hydrated superabsorbent polymer (70).Un dispositivo apósito para heridas adaptado para enfriar (10) diseñado para promover la cicatrización de una herida a la que se aplica, en que el dispositivo apósito (10) comprende: - un recubrimiento de heridas (12) que tiene una capa de contacto con la herida (16) con una superficie de contacto con la herida (20); - un material de tratamiento de heridas (40) contenido en la capa de contacto con la herida (16); y - una capa de absorción de calor (50) en comunicación de flujo de calor con la capa de contacto con la herida (16), en que la capa de absorción de calor (50) es adaptable para eliminar el calor de la capa de contacto con la herida (16) y reducir la temperatura de la superficie de contacto con la herida (20) por