A method of welding together the parts of a boiler tube wall panel includes placing at least two parts of the panel to be welded together along a weld line and adjacent each other, and forming a weld along the weld line using a laser beam. The method can advantageously be used to weld boiler tube wall panels solely from one side of the panel. A GMAW process can also be used in combination with the laser beam to form the weld. Where the boiler tube wall panel includes a membrane between tubes, the membrane may be beveled.