Methods for separating glass articles from glass substrate sheets are described herein. In one embodiment, a method includes focusing a laser beam on at least one surface of the glass substrate sheet such that the laser beam has an asymmetrical intensity distribution at the at least one surface of the glass substrate sheet. The method further includes translating the laser beam on the at least one surface of the glass substrate sheet along a desired groove line to form at least one groove on the at least one surface of the glass substrate sheet. The at least one groove extends partially through a thickness of the glass substrate sheet along the desired groove line and has bevelled or chamfered walls. The glass article may be separated from the glass substrate sheet along the at least one groove.