A device for intrabody surgery comprises a cutting arrangement rotatable by a hollow driveshaft, which is formed by a hollow front cutting region and a rear region. The front region includes multiple longitudinal drilling sections interconnected by transversely oriented cutting blade sections. The drilling sections are positioned at an angle to each other defining in combination with the cutting blades a conically shaped grid formation having a hollow internal cavity. The grid formation defines a plurality of ports between the drilling sections and the blades. A low-pressure zone is formed within the hollow internal cavity, wherein cut occlusion materials are aspired by the low-pressure zone through the plurality of ports into the hollow internal cavity for further evacuation from the cutting arrangement.