The invention relates to device and method enabling industrial continuous pressing, called extrusion of plastically/thermally mouldable substances (11) such as metal, composite metal, plastic, composite or rubber, which is pressed to the profile (12) by a process comprising tool fixed member (6) partially predefining the profile shape/cross-section before the profile finally defined to fixed or varied cross-section when the material passes rotating dies (2) which can be patterned or smooth and through the contact with each other (1) cancel out each main radial forces and the position of which in some embodiments of the invention may vary relative to other bearing surfaces (13, 17) or rotary bearing surfaces (4) of the tool with which they define the final shape of the profile. The invention enables the extrusion of pattern on the inside of hollow profiles and the extrusion of multiple profiles in one tool, because 80-98% of the radial bearing forces are eliminated, allowing the installation of rotary dies where not previously possible, and almost unlimited opportunities in increased profile width.