A non-consumable pet toy comprises a three-dimensional body formed of resilient material with a trapper cavity or slot that has opposing walls extending into the body. In some embodiments, the opposing walls of the trapper cavity are designed to clamp against a substantial portion of opposite surfaces of an attractant, to retain the attractant in the trapper cavity. At least one wall of the trapper cavity is a bias wall that is sufficiently resilient to permit opening the trapper cavity to insert the attractant into the cavity. In some embodiments, the bias wall is a wall of the body of the toy, whereas in other embodiments the bias wall is formed by an adjacent bias cavity in the body spaced from the trapper cavity. In yet other embodiments, a resilient member at least partially closes the trapper cavity to retain small pieces of the attractant as the animal breaks it.