Devices, systems, and methods are disclosed for inverting and closing a left atrial appendage. Certain methods include the steps of inverting a distal portion of a left atrial appendage and constraining the inverted portion using at least a snare device configured to be fit around the inverted portion of the left atrial appendage and closed, so that the inverted portion is securely circumscribed and closed. Devices and systems related to such methods are also described and include a catheter system comprising a vacuum tube and a snare slidably disposed within a catheter.