A method for making a bactericidal and virucidal covering material comprises the steps of preparing a web of thermoplastic polymeric material, applying a plurality of particles of photocatalytic material on the web of thermoplastic material and heating at least one portion of the web from a first, lower temperature to a second, upper temperature at least equal to the softening temperature of the thermoplastic polymeric material, in order to allow the particles of photocatalytic material to be integrated in the thermoplastic polymeric material.