A press for extruding metal material, wherein said press comprises at least one cylinder in which a piston is movable for extruding said material, wherein said piston is controlled by means of a hydraulic oil circuit comprising: - at least one fixed displacement pump for circulating said oil, said pump being connected to said cylinder by means of a main supply line and being operated by an electric motor with a variable rotation speed; - a branch line hydraulically connected to said main line at a branch point, wherein along said branch line a shutoff element is arranged, which is movable between a first opening position and a closing position of said branch line; - a control hydraulic unit acting on said shutoff element to control the movement thereof between said opening position and said closing position, wherein said hydraulic unit comprises a pilot line, independent from said main line and from said branch line, and a pilot valve operatively arranged along said pilot line which identifies an initial stretch of said pilot line, communicating with said main line, and a second discharging segment of said pilot line, wherein said pilot valve, in an activation configuration, closes said second stretch and wherein the movement of said shutoff element is determined by the difference existing between the pressure in said branch line and the pressure in said initial stretch of said pilot line; - a control element connected at least to said initial stretch of said pilot line, which, in an activation condition, and after the activation of said pilot valve, determines a gradual increase of the pressure in said initial stretch segment of said pilot line and a corresponding gradual closing movement of said shutoff element, characterized in that said control element comprises a plurality of tanks (52A, 52B), each of which is connected to said initial stretch of said pilot line, and wherein, for each tank (52A, 52B), said control element comprises at least one corresponding valve (54A, 54B), switchable between a non-activation state, in which said tank (52A, 52B) does not communicate with said initial stretch of pilot line, and an activation state, in which said tank (52A, 52B) instead communicates with said initial stretch of said pilot line. - at least one fixed displacement pump for circulating said oil, said pump being connected to said cylinder by means of a main supply line and being operated by an electric motor with a variable rotation speed; - a branch line hydraulically connected to said main line at a branch point, wherein along said branch line a shutoff element is arranged, which is movable between a first opening position and a closing position of said branch line; - a control hydraulic unit acting on said shutoff element to control the movement thereof between said opening position and said closing position, wherein said hydraulic unit comprises a pilot line, independent from said main line and from said branch line, and a pilot valve operatively arranged along said pilot line which identifies an initial stretch of said pilot line, communicating with said main line, and a second discharging segment of said pilot line, wherein said pilot valve, in an activation configuration, closes said second stretch and wherein the movement of said shutoff element is determined by the difference existing between the pressure in said branch line and the pressure in said initial stretch of said pilot line; - a control element connected at least to said initial stretch of said pilot line, which, in an activation condition, and after the activation of said pilot valve, determines a gradual increase of the pressure in said initial stretch segment of said pilot line and a corresponding gradual closing movement of said shutoff element, characterized in that said control element comprises a plurality of tanks (52A, 52B), each of which is connected to said initial stretch of said pilot line, and wherein, for each tank (52A, 52B), said control element comprises at least one corresponding valve (54A, 54B), switchable between a non-activation state, in which said tank (52A, 52B) does not communicate with said initial stretch of pilot line, and an activation state, in which said tank (52A, 52B) instead communicates with said initial stretch of said pilot line.