A process of producing a partially hardened metallic formed part, comprising the following steps: heating a semi-finished product of hardenable hotformable steel sheet to a hardening temperature; hot-forming the heated semi-finished product in a combined hot-forming cutting device into a three-dimensional formed part, wherein the combined hot-forming cutting device comprises an upper tool part (3, 4, 5) and a lower tool part (6, 7, 8) which are closed for hot-forming the semi-finished product; cutting the formed part in the hot-forming cutting device; press-hardening the formed part in the hot-forming cutting device into a hardened formed part, wherein at least one of the upper tool part (3, 4, 5) and the lower tool part (6, 7, 8) comprises a first tool portion (13A, 27A) which, during the hot-forming and press-hardening, comes into contact a first partial region of the formed part, wherein the first tool portion (13A, 27A) is cooled such that the first partial region is hardened by rapid cooling, and wherein at least one of the upper tool part (3, 4, 5) and of the lower tool part (6, 7, 8) comprises a second tool portion (13B, 27B) which, during the hot-forming and press-hardening comes into contact with a second partial region of the semi-finished product, wherein the second tool portion (13B, 27B) is being heated such that the second partial region of the formed part is heat-treated so as to obtain a greater ductility and a lower strength than the first partial region, wherein it is further provided that the second tool portion (13B, 27B) is temporarily or permanently cooled to avoid an overheating; wherein the step of cutting the formed part takes place in at least one of the first partial region and of the second partial region. heating a semi-finished product of hardenable hotformable steel sheet to a hardening temperature; hot-forming the heated semi-finished product in a combined hot-forming cutting device into a three-dimensional formed part, wherein the combined hot-forming cutting device comprises an upper tool part (3, 4, 5) and a lower tool part (6, 7, 8) which are closed for hot-forming the semi-finished product; cutting the formed part in the hot-forming cutting device; press-hardening the formed part in the hot-forming cutting device into a hardened formed part, wherein at least one of the upper tool part (3, 4, 5) and the lower tool part (6, 7, 8) comprises a first tool portion (13A, 27A) which, during the hot-forming and press-hardening, comes into contact a first partial region of the formed part, wherein the first tool portion (13A, 27A) is cooled such that the first partial region is hardened by rapid cooling, and wherein at least one of the upper tool part (3, 4, 5) and of the lower tool part (6, 7, 8) comprises a second tool portion (13B, 27B) which, during the hot-forming and press-hardening comes into contact with a second partial region of the semi-finished product, wherein the second tool portion (13B, 27B) is being heated such that the second partial region of the formed part is heat-treated so as to obtain a greater ductility and a lower strength than the first partial region, wherein it is further provided that the second tool portion (13B, 27B) is temporarily or permanently cooled to avoid an overheating; wherein the step of cutting the formed part takes place in at least one of the first partial region and of the second partial region.