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 . <EOS>