A composition including at least one XAP peptide, in which X represents the empty set or a valine, for use in the prevention and/or treatment of pathologies associated with alpha-glucosidase. Also, the use of a hydrolysate of at least one protein, the protein including or constituted by at least 0.05% to <；5% or of at least 5% of XAP units, in which X represents the empty set or a valine, for use in the prevention and/or treatment of pathologies associated with alpha-glucosidase.
