An exemplary valve repair device for repairing a native valve of a patient includes: a coaption element; a pair of paddles connected to the coaption element; a catch point formed by a portion of at least one of the coaption element and the pair of paddles when the paddles are in the open position; and a cover covering connected to the coaption element and the paddles for covering the catch point. The paddles are movable between an open position and a closed position and are configured to attach to the native valve of the patient.