There is described a hot-stamping press (10; 10″; 10′″) comprising a foil application unit (2; 2*) designed to allow transfer or lamination of foil material (FM) by hot-stamping onto a substrate (S) supplied in the form of successive sheets or successive portions of a continuous web, which foil material (FM) is fed to the foil application unit (2; 2*) in the form of a foil carrier (FC) supplied by means of a foil feeding system (3). The hot-stamping press (10; 10″; 10′″) further comprises at least one UV-curing unit (61; 62; 63) located along a path (A) of the substrate (S) downstream of the foil application unit (2; 2*) to subject the foil material (FM) transferred or laminated onto the substrate (S) to a UV-curing operation. The foil material (FM) is provided with an adhesive intended to ensure adhesion of the foil material (FM) onto the substrate (S), which adhesive comprises a combination of hot-melt compounds reacting to the application of heat produced by the foil application unit (2; 2*) and UV-curing compounds reacting to the application of ultraviolet radiation produced by the UV-curing unit (61; 62; 63).