A method for forming a radiation, such as laser, welded point of attachment between at least two fabric pieces, such as ends, is provided. The method comprises the steps of lapping the fabric pieces to be attached; applying to the lapped fabric pieces in a region where the fabric pieces are to be attached a radiation, preferably an infrared energy, absorbing ink; and exposing the ink applied region of lapped fabric pieces to a source of radiation in the wave length absorbed by the radiation absorbing ink. In the case of an infrared absorbing ink, a laser light power has been applied in the range of 200 to 1000 Watts while scanning laser light along the ink applied region at a rate of one to twenty-five meters per minute. The method provides a fabric construction useful as an air bag, a gas inflatable safety cushion or curtain or in other applications, such as articles of apparel.