A method for attaching a membrane (3) to a substrate (1), which comprises the steps of: (a) providing a substrate (1) that has an upper surface (1A) and a bottom surface (1B) apart from each other. , and a receptacle (2) between them; (b) inserting a mandrel (4) into said receptacle (2), mandrel that is configured to the internal dimensions of the receptacle (2) to avoid excessive deformation of the substrate (1) inside the receptacle (2); (c) placing a membrane (3) comprising a polymer composition (3B) combined with a support structure (3A) along said upper surface (1A) of said substrate (1) on said receptacle (2), said support structure (3A) being a woven mesh-like construction having a reticular structure with openings or open areas therein to capture the polymer material (3B); (d) cause the union between the substrate (1) and the membrane (3) by application of heat by conductivity to the side of the membrane (3) opposite the substrate (1) by means of a conductive means (5), heating stage by conductivity further comprising: - placing said conductive means (5) on said membrane (3) covering said conductive means (5) said membrane (3), and contacting said conductive means (5) with a heat source (6) during the time required to melt said substrate (1) to the molten state forming a molten substrate (1), molten substrate that flows to said support structure (3A) of said membrane (3) and displaces a portion of said polymer composition (3B) of said support structure (3A); and (e) allowing said substrate (1) to cool to result in a heat-bonded entanglement (7) between said substrate (1) and said membrane.
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