A gripping device (10) operative within a vessel of the body for implantation, the repositioning or removal of an object comprising: an elongated support body (12) having a central longitudinal axis and an outer end； a plurality of grip members (22, 58) separated at regular intervals fixed to said support body (12) to extend axially outwardly from its outer end, each of said grip members (22) having a proximal end (28 ) fixed to said support body (12) and a distal end (26) separated from the outer end of said support body (12), said grip members (22, 58) being formed to offer an expansion position, when not they are constrained, in which their distal ends (26) are laterally separated at regular intervals from said support body (12) and to be able to move, when constrained, inwards from said expansion position in the direction of the longitudinal geometric axis of said support body (12)； and a flexible coating (34) that constitutes a closed space with an open end in the expansion position of said grip members (22), said flexible covering (34) being connected to said grip members (22), characterized in that : said grip members (22) in the expansion position taper outwardly from their proximal to distal ends (28, 26) at a first angle with respect to said longitudinal geometric axis, said flexible coating (34) having a first section (38) adjacent to its open end which is inclined with respect to said longitudinal geometric axis at an angle substantially equal to said first angle, and extending a second section (36) from said first section (38) to said support body (12 ) at an angle with respect to said longitudinal longitudinal axis greater than said first angle, said grip members (22, 58) being separated at regular intervals from said second section ion (36), wherein said flexible coating (34) has an open end connected to the distal ends of said grip members (22, 58) and a closed end connected to said support body (12).Un dispositivo de agarre (10) operativo dentro de
