The device includes a solid disk (1) whose diameter is larger than the diameter of a hole (2) to be treated and which is formed by a peripheral deformable thread (6) made of a shape memory material and a flexible membrane (6) which is made of biocompatible material and connected to the thread; and at least an attachment (15) separated from the disk (1) which makes it possible to fix the disk (1) to the body wall. Each attachment (15) is provided with an area (16) for linking to the disk and an area (16) for linking to the body wall (3) and is embodied such that it is deformable and can be introduced into a hollow needle (28).