A surgical device and procedure are provided for performing microsurgery, including a capsulotomy of a lens capsule of an eye. The device has an elastically deformable cutting element mounted within an elastomeric suction cup. The suction cup is attached to an arm for manipulating the device. The device can be inserted into the anterior chamber of the eye, through a corneal incision, to cut a piece from the anterior portion of the lens capsule of the eye. The device is secured against the lens capsule using suction applied by one or more suction elements. The device is then removed from the eye, with the cut piece of membrane retained within the device by suction.