A method for molding layered manufactured articles made of polymeric material using a kit constituted by a male mold part, a female mold part, and at least one intermediate insert, wherein at least two distinct polymeric materials are brought to a respective softening temperature, at which point they become viscous and therefore injectable, and, subsequently, they are injected separately, each one into a respective cavity defined between the components of said kit, which consists in: - heating at least one component of said_kit, constituted by a male mold part, a female mold part and at least one intermediate insert, to a temperature higher than said softening temperature of said polymers and corresponding to their cross-linking temperature; - injecting the heated mixture of a polymeric material into a cavity defined between a pair of components of said kit, filling a perimetric seat of said cavity, said perimetric seat being defined between a perimetric groove of the receptacle present in one of the two components and a proximate flat surface of the other component, which faces it; - injecting the heated mixture of at least one other polymeric material into at least one further cavity defined between a further pair of components of said kit, filling a respective perimetric seat of said cavity, said perimetric seat being defined between a perimetric groove of the additional receptacle present in one of the two components and a proximate flat surface of the other component, which faces it; - separating the components of said kit; - removing at least one intermediate insert; - mating the remaining components of said kit, making the portion of manufactured article that is present in a receptacle of a first component match up with the additional portion which is present in a corresponding receptacle of a second component, juxtaposing the border part of a first portion of manufactured article, present in the perimetric groove of the receptacle of the respective component, against the border part of a second portion of manufactured article, present in the perimetric groove of the receptacle of the corresponding component; - keeping said remaining components mated for a predefined cross-linking time; - separating said remaining components and extracting the manufactured article, including a respective perimetric border; - removing the perimetric border in order to obtain said manufactured article, now finished. - heating at least one component of said_kit, constituted by a male mold part, a female mold part and at least one intermediate insert, to a temperature higher than said softening temperature of said polymers and corresponding to their cross-linking temperature; - injecting the heated mixture of a polymeric material into a cavity defined between a pair of components of said kit, filling a perimetric seat of said cavity, said perimetric seat being defined between a perimetric groove of the receptacle present in one of the two components and a proximate flat surface of the other component, which faces it; - injecting the heated mixture of at least one other polymeric material into at least one further cavity defined between a further pair of components of said kit, filling a respective perimetric seat of said cavity, said perimetric seat being defined between a perimetric groove of the additional receptacle present in one of the two components and a proximate flat surface of the other component, which faces it; - separating the components of said kit; - removing at least one intermediate insert; - mating the remaining components of said kit, making the portion of manufactured article that is present in a receptacle of a first component match up with the additional portion which is present in a corresponding receptacle of a second component, juxtaposing the border part of a first portion of manufactured article, present in the perimetric groove of the receptacle of the respective component, against the border part of a second portion of manufactured article, present in the perimetric groove of the receptacle of the corresponding component; - keeping said remaining components mated for a predefined cross-linking time; - separating said remaining components and extracting the manufactured article, including a respective perimetric border; - removing the perimetric border in order to obtain said manufactured article, now finished.