An incinerating container for grills and similar broilers. The incinerating container receives products of combustion from a gas burner or hot gases from an electric element or other heat source. Apertures in a top of the incinerating container receive oil into the incinerating container, such as oils from melted fat as food cooks. The oils are incinerated within the incinerating container. The apertures formed in the top allow hot oils to enter the incinerating container for combustion of the oils within the incinerating container, and are constructed to prevent flames from materially exiting the incinerating container.