A method of aspirating a vascular occlusion from a remote site is provided. The method includes the steps of advancing a first elongate tubular body through a vascular access site and into a body vessel, advancing a second tubular body distally to extend beyond the first elongate tubular body to reach the remote site, and aspirating thrombus from the site into the lumen by applying pulsatile vacuum to the first elongate tubular body. The second tubular body has a lumen and a length that is shorter than the first elongate tubular body. The pulsatile application of vacuum may cause the distal tip of the second tubular body to open and close like a jaw, which facilitates reshaping the thrombus or biting or nibbling the thrombus material into strands or pieces to facilitate proximal withdrawal under negative pressure through the lumen of the second tubular body.