A method for the oxidation and sintering of pellets includes the introduction of a first medium into a compartment through an inlet connected to the compartment and the heating of the medium in the inlet through the use of a combustion arrangement. The use of the combustion arrangement includes the ignition of the fuel, the combustion of the fuel, and the transfer of combustion heat to the first medium that is present at the combustion arrangement. In a region in the inlet outside the direct passage of the first medium, the ignition of the fuel, the combustion of the fuel and the transfer of combustion heat to the first medium take place. By the introduction of a second medium into the region in the direct vicinity of the combustion arrangement, the combustion of the fuel and the transfer of combustion heat also to the second medium take place.