A fastening composition for attaching two articles, comprising a mixture of an aerobic adhesive and a hydrophilic substance. A process for fixing an article to a substrate, includes the steps of initially preparing a fastening composition by mixing together a hydrophilic substance and an aerobic adhesive; applying a layer of the fastening composition to the article; and subsequently fixing the article to the substrate by pressing the layer of the fastening composition against the substrate. The aerobic adhesive in this layer hardens because of the moisture contained in the hydrophilic substance.