The present disclosure relates to a process for cutting and separating arbitrary shapes of thin substrates of transparent materials, particularly tailored composite fusion drawn glass sheets, and the disclosure also relates to a glass article prepared by the method. The developed laser method can be tailored for manual separation of the parts from the panel or full laser separation by thermally stressing the desired profile. The self-separation method involves the utilization of an ultra-short pulse laser that can be followed by a CO2 laser (coupled with high pressure air flow) for fully automated separation.