A method for burning fuel in an industrial burner having a combustion chamber, a fuel duct in fluidic connection with the combustion chamber, an oxidizing agent duct in fluidic connection with the combustion chamber and a discharge duct in fluidic connection with the combustion chamber, said method comprising: - conveying a fuel flow through the fuel duct into the combustion chamber; - conveying an oxidizing agent flow through the oxidizing agent duct into the combustion chamber; - igniting a combustion reaction of the fuel with the oxidizing agent within the combustion chamber, said combustion generating combustion gases/fumes; - removing the combustion gases/fumes from the combustion chamber through the discharge duct, - using one or more first recirculation ducts for withdrawing a first partial flow of combustion gases/fumes from the combustion chamber and supplying the first partial flow of combustion gases/fumes into the oxidizing agent duct in a re-input point upstream of the combustion chamber, to mix the first partial flow of combustion gases/fumes with the oxidizing agent flow, - configuring the oxidizing agent duct at the re-input point as a Venturi tube, and using the oxidizing agent flow as the driving fluid for suctioning the first partial flow of combustion gases/fumes, wherein the the burner comprises a mixing and injection body defining: - an inner chamber; - at least one fumes inlet aperture in communication with the inner chamber and to which a tube of the first recirculation duct is connected, - at least one oxidizing agent inlet opening in communication with the inner chamber and to which a tube of the oxidizing agent duct is connected, - at least one oxidizing agent outlet opening in communication with the inner chamber for outputting a oxidizing agent-combustion fumes mixture, - a fuel passage duct, to which a tube of the fuel duct is connected, and forming a fuel outlet opening for outputting the fuel, wherein said at least one oxidizing agent inlet opening is formed in a tubular collector projecting in the inner chamber and having a narrow flow cross-section to accelerate the oxidizing agent flow at the outlet from the collector and generate the Venturi effect for suctioning the first partial flow of combustion gases/fumes in the oxidizing agent flow, so that the flow of oxidizing agent, passing through the collectors, is accelerated and suctions the first partial flow of combustion gases/fumes through the fumes inlet aperture in the inner chamber, where it mixes with the flow of oxidizing agent in a mixing zone downstream of the collectors, and the oxidizing agent-fumes/gases mixture then passes through a diffuser zone of the oxidizing agent outlet opening from which it reaches the combustion chamber, characterized by withdrawing from the combustion chamber, at a fuel withdrawing point adjacent to an outlet opening of the fuel duct, a second partial flow of fuel, and re-inputting the second partial flow at the re-input point into the oxidizing agent duct by using the oxidizing agent flow as the driving fluid to suction also the second partial flow of fuel. - conveying a fuel flow through the fuel duct into the combustion chamber; - conveying an oxidizing agent flow through the oxidizing agent duct into the combustion chamber; - igniting a combustion reaction of the fuel with the oxidizing agent within the combustion chamber, said combustion generating combustion gases/fumes; - removing the combustion gases/fumes from the combustion chamber through the discharge duct, - using one or more first recirculation ducts for withdrawing a first partial flow of combustion gases/fumes from the combustion chamber and supplying the first partial flow of combustion gases/fumes into the oxidizing agent duct in a re-input point upstream of the combustion chamber, to mix the first partial flow of combustion gases/fumes with the oxidizing agent flow, - configuring the oxidizing agent duct at the re-input point as a Venturi tube, and using the oxidizing agent flow as the driving fluid for suctioning the first partial flow of combustion gases/fumes, - an inner chamber; - at least one fumes inlet aperture in communication with the inner chamber and to which a tube of the first recirculation duct is connected, - at least one oxidizing agent inlet opening in communication with the inner chamber and to which a tube of the oxidizing agent duct is connected, - at least one oxidizing agent outlet opening in communication with the inner chamber for outputting a oxidizing agent-combustion fumes mixture, - a fuel passage duct, to which a tube of the fuel duct is connected, and forming a fuel outlet opening for outputting the fuel,