A method for manufacturing a sealed tubular cored wire from a metallic tube containing raw materials in powder form, in which method: a) the following are used to draw in the metallic tube: i) a motorised rotating roller system (8, 9, 10) comprising a plurality of motorised rotating rollers (9, 10) making it possible to draw in the metallic tube and to perform a rolling of said metallic tube, the motorised rotating roller system (8, 9, 10) comprising at least two pairs of motorised rotating rollers (9, 10), and ii) a capstan drive system (1, 2, 3) comprising rotating capstans (1, 2) making it possible to draw in the metallic tube, and a rolling and/or wire drawing system with free rotating rollers or a nozzle making it possible to perform a rolling and/or a wire drawing of the tube, b) the diameter of the metallic tube is progressively reduced by rolling, by wire drawing, or both, by passing the tube through the motorised rotating roller system (8, 9, 10) and the rolling and/or wire drawing system comprising free rotating rollers driven in rotation by the capstan drive system (1, 2, 3), and c) a cored wire having a final diameter (d) less than or equal to 5 mm is obtained, and the extension of said tube is controlled during the reduction of the diameter of the tube by controlling the ratios of the rotation speeds: - of the rotating rollers (9, 10) of the motorised rotating roller system (8, 9, 10) and - of the rotating capstans (1, 2) of the capstan drive system (1, 2, 3), and, simultaneously with the progressive reduction of the diameter of the tube performed in step b), an additional longitudinal tractive force is exerted on the tube in order to obtain the desired elongation of the tube. a) the following are used to draw in the metallic tube: i) a motorised rotating roller system (8, 9, 10) comprising a plurality of motorised rotating rollers (9, 10) making it possible to draw in the metallic tube and to perform a rolling of said metallic tube, the motorised rotating roller system (8, 9, 10) comprising at least two pairs of motorised rotating rollers (9, 10), and ii) a capstan drive system (1, 2, 3) comprising rotating capstans (1, 2) making it possible to draw in the metallic tube, and a rolling and/or wire drawing system with free rotating rollers or a nozzle making it possible to perform a rolling and/or a wire drawing of the tube, i) a motorised rotating roller system (8, 9, 10) comprising a plurality of motorised rotating rollers (9, 10) making it possible to draw in the metallic tube and to perform a rolling of said metallic tube, the motorised rotating roller system (8, 9, 10) comprising at least two pairs of motorised rotating rollers (9, 10), and ii) a capstan drive system (1, 2, 3) comprising rotating capstans (1, 2) making it possible to draw in the metallic tube, and a rolling and/or wire drawing system with free rotating rollers or a nozzle making it possible to perform a rolling and/or a wire drawing of the tube, b) the diameter of the metallic tube is progressively reduced by rolling, by wire drawing, or both, by passing the tube through the motorised rotating roller system (8, 9, 10) and the rolling and/or wire drawing system comprising free rotating rollers driven in rotation by the capstan drive system (1, 2, 3), and c) a cored wire having a final diameter (d) less than or equal to 5 mm is obtained, and - of the rotating rollers (9, 10) of the motorised rotating roller system (8, 9, 10) and - of the rotating capstans (1, 2) of the capstan drive system (1, 2, 3), and, simultaneously with the progressive reduction of the diameter of the tube performed in step b), an additional longitudinal tractive force is exerted on the tube in order to obtain the desired elongation of the tube.