A process for applying a coated or uncoated film onto at least one geometrically defined surface of a lens substrate which comprises the steps of: (a) providing a liquid hot melt adhesive HMA composition comprising: at least one HMA base polymer having a glass transition temperature Tg and optionally a melting temperature Tm, with Tg < Tm; at least one polymerizable monomer, oligomer or polymer, preferably at least one polymerizable monomer or oligomer; and optionally at least one liquid solvent compatible with both said at least one polymer and said at least one polymerizable monomer, oligomer or polymer; (b) providing a film having two opposite main surfaces: a first main surface optionally bearing at least one functional coating and a second main surface; (c) providing a lens substrate having at least one geometrically defined surface; (d) applying the liquid HMA composition onto either the surface of said film or said at least one geometrically defined surface; (e) drying the applied liquid HMA composition to form a HMA dried layer in contact with said at least one of the main surfaces of said film or said at least one geometrically defined surface of the lens substrate; (f) moving the film and the lens substrate relatively to each other to bring the HMA dried layer into contact with either said at least one geometrically defined surface of the lens substrate or one of said main surfaces of said film; (g) applying a pressure on the film; (h) heating to reach a T max process temperature at or above the glass transition temperature Tg, but below the melting temperature Tm, if the HMA base polymer exhibits a Tm, the polymerizable monomers or oligomers being liquid at the T max process temperature; (i) polymerizing the polymerizable monomers, oligomers or polymers, while maintaining pressure and heating; (j) removing the pressure applied on the film, and recovering the lens substrate with the film adherent to said lens substrate geometrically defined surface. (a) providing a liquid hot melt adhesive HMA composition comprising: at least one HMA base polymer having a glass transition temperature Tg and optionally a melting temperature Tm, with Tg < Tm; at least one polymerizable monomer, oligomer or polymer, preferably at least one polymerizable monomer or oligomer; and optionally at least one liquid solvent compatible with both said at least one polymer and said at least one polymerizable monomer, oligomer or polymer; at least one HMA base polymer having a glass transition temperature Tg and optionally a melting temperature Tm, with Tg < Tm; at least one polymerizable monomer, oligomer or polymer, preferably at least one polymerizable monomer or oligomer; and optionally at least one liquid solvent compatible with both said at least one polymer and said at least one polymerizable monomer, oligomer or polymer; (b) providing a film having two opposite main surfaces: a first main surface optionally bearing at least one functional coating and a second main surface; (c) providing a lens substrate having at least one geometrically defined surface; (d) applying the liquid HMA composition onto either the surface of said film or said at least one geometrically defined surface; (e) drying the applied liquid HMA composition to form a HMA dried layer in contact with said at least one of the main surfaces of said film or said at least one geometrically defined surface of the lens substrate; (f) moving the film and the lens substrate relatively to each other to bring the HMA dried layer into contact with either said at least one geometrically defined surface of the lens substrate or one of said main surfaces of said film; (g) applying a pressure on the film; (h) heating to reach a T max process temperature at or above the glass transition temperature Tg, but below the melting temperature Tm, if the HMA base polymer exhibits a Tm, the polymerizable monomers or oligomers being liquid at the T max process temperature; (i) polymerizing the polymerizable monomers, oligomers or polymers, while maintaining pressure and heating; (j) removing the pressure applied on the film, and recovering the lens substrate with the film adherent to said lens substrate geometrically defined surface.