Methods and systems for inverting and closing a left atrial appendage. The system can include a vacuum tube, closed-end needle, and tissue glue. The vacuum tube may have a plunger-like end for attachment to the left atrial appendage and may also be capable attaching to a vacuum source. The method can comprise the steps of attaching the vacuum tube to the left atrial appendage, advancing a closed-end needle through the left atrial appendage, retracting the vacuum tube to invert the left atrial appendage, and injecting tissue glue through the closed-end needle so that the exterior sides of the left atrial appendage are glued together and the appendage will fibrous and atrophy over time, thereby eliminating formation of a thrombus within the apex of the atrial appendage.
