An occlusion device, comprising: a central waist portion extending between first and second disks (2, 3) disposed along a center axis, the device being formed of metal mesh comprising a plurality of metal strands made of shape memory alloy material, wherein the first disk has a first enlarged diameter flange portion adapted to be placed on an exterior surface of a patient's heart wall adjacent an exterior end of an apical hole in the heart wall, and an adjacent first shoulder portion of smaller diameter adapted to be placed within the apical hole near the exterior end, wherein the second disk has a second enlarged diameter portion adapted to be placed on an interior surface of the heart wall adjacent the interior end of the apical hole, and an adjacent second shoulder portion of smaller diameter adapted to be placed within the apical hole near the interior end, and wherein the central waist portion is adapted to extend through the apical hole and connect the first and second disks (2, 3), while urging the disks (2, 3) toward one another when the device is in an expanded condition, characterized in that the first and second shoulder portions (20, 30) have respective inner faces (22, 32) lying opposite one another in the direction of the center axis, each inner face (22, 32) being concaved inwardly within its corresponding shoulder portion (20, 30) by an angle β between each of the inner faces (22, 32) and the central waist portion so as to form a recess when the device is in a relaxed condition, and when in the expanded condition of the mounted device within the apical hole, the disks (2, 3) are urged toward one another by the tensioning arising from the mesh structure of the inner faces (22, 32) of the first and second shoulder portions (20, 30) which take on a flatter shape as they are pulled toward one another by the central waist portion. a central waist portion extending between first and second disks (2, 3) disposed along a center axis, the device being formed of metal mesh comprising a plurality of metal strands made of shape memory alloy material, wherein the first disk has a first enlarged diameter flange portion adapted to be placed on an exterior surface of a patient's heart wall adjacent an exterior end of an apical hole in the heart wall, and an adjacent first shoulder portion of smaller diameter adapted to be placed within the apical hole near the exterior end, wherein the second disk has a second enlarged diameter portion adapted to be placed on an interior surface of the heart wall adjacent the interior end of the apical hole, and an adjacent second shoulder portion of smaller diameter adapted to be placed within the apical hole near the interior end, and wherein the central waist portion is adapted to extend through the apical hole and connect the first and second disks (2, 3), while urging the disks (2, 3) toward one another when the device is in an expanded condition, characterized in that the first and second shoulder portions (20, 30) have respective inner faces (22, 32) lying opposite one another in the direction of the center axis, each inner face (22, 32) being concaved inwardly within its corresponding shoulder portion (20, 30) by an angle β between each of the inner faces (22, 32) and the central waist portion so as to form a recess when the device is in a relaxed condition, and when in the expanded condition of the mounted device within the apical hole, the disks (2, 3) are urged toward one another by the tensioning arising from the mesh structure of the inner faces (22, 32) of the first and second shoulder portions (20, 30) which take on a flatter shape as they are pulled toward one another by the central waist portion.