A method for bonding air-permeable substrates using an anaerobic adhesive composition comprising a polymerizable monomer, a halogen-containing compound as a first initiator component; an organic thiol as a second initiator component, and an inhibitor of free-radical polymerization. The method comprises (A) applying the adhesive composition to at least one substrate; (B) bringing the substrates into an abutting relation to provide an anaerobically-curable environment for the adhesive composition; and (C) maintaining the substrates in the abutting relationship until the adhesive composition polymerizes.