A grilling machine comprising: - a base body; - a plate, arranged on said base body, which defines a cooking surface whereon foods to be cooked are laid, - heating means operationally associated with said plate for heating said cooking surface; - a circuit, associated with said plate, for treating fumes produced while cooking said foods; wherein said fumes treatment circuit comprises: a hood arranged over said plate, comprising at least one suction mouth; a filtering unit fluidically connected to said hood; at least one recirculation outlet fluidically connected downstream of said filtering unit and located near said plate; characterized in that the recirculation outlet is arranged in a plane that contains the plate, so that the cooking fumes sucked in through said suction mouth of the hood are treated by said filtering unit in order to obtain a purified flow with a given percentage of humidity, wherein said purified flow is recirculated towards said cooking surface through said at least one outlet in order to exert a humidifying action on the foods, wherein said hood is shaped as a bridge over said cooking plate, and wherein the filtering unit is located, at least partly, under the cooking plate and/or anyway in a different position with respect to the hood. - a base body; - a plate, arranged on said base body, which defines a cooking surface whereon foods to be cooked are laid, - heating means operationally associated with said plate for heating said cooking surface; - a circuit, associated with said plate, for treating fumes produced while cooking said foods; wherein said fumes treatment circuit comprises: a hood arranged over said plate, comprising at least one suction mouth; a filtering unit fluidically connected to said hood; at least one recirculation outlet fluidically connected downstream of said filtering unit and located near said plate; characterized in that the recirculation outlet is arranged in a plane that contains the plate, so that the cooking fumes sucked in through said suction mouth of the hood are treated by said filtering unit in order to obtain a purified flow with a given percentage of humidity, wherein said purified flow is recirculated towards said cooking surface through said at least one outlet in order to exert a humidifying action on the foods, wherein said hood is shaped as a bridge over said cooking plate, and wherein the filtering unit is located, at least partly, under the cooking plate and/or anyway in a different position with respect to the hood. a hood arranged over said plate, comprising at least one suction mouth; a filtering unit fluidically connected to said hood; at least one recirculation outlet fluidically connected downstream of said filtering unit and located near said plate; characterized in that the recirculation outlet is arranged in a plane that contains the plate, so that the cooking fumes sucked in through said suction mouth of the hood are treated by said filtering unit in order to obtain a purified flow with a given percentage of humidity, wherein said purified flow is recirculated towards said cooking surface through said at least one outlet in order to exert a humidifying action on the foods, wherein said hood is shaped as a bridge over said cooking plate, and wherein the filtering unit is located, at least partly, under the cooking plate and/or anyway in a different position with respect to the hood.