Abstract: A tyre is described that includes a casing designed to be inflated to a service pressure and equipped to accept a functional object, such as an electronic circuit, for example, by means of a two-part fastener 10, such as a touch-close fastener, for example. A first part of the fastener is attached to a wall of the casing, while the second part can be joined to the first part when placed in contact with the first part to attach and keep the object on the casing when the tyre is in service. The first part of the fastener includes a thin backing fixed to the wall of the casing and possessing a structural elongation capacity greater than or equal to that of the wall to which the thin backing is fixed. The presence of the thin backing does not significantly hinder the elongation of the wall of the casing when subjected to the stresses encountered during use of the tyre and, where relevant, during its manufacture.