A method and apparatus are provided for adding material to a workpiece mounted on a machine tool, while the workpiece is mounted on a machine tool, by melting a portion of the workpiece, in a zone of addition of the workpiece, using a material addition device including a laser, to form a puddle of molten material of the workpiece in the zone of addition, and feeding the material to be added into the puddle of molten material while continually applying heat with the laser. The melting and feeding are performed while the workpiece remains mounted in the same set-up that is used for machining the workpiece on the machine tool, except for replacing machining cutters used during machining operations with the material addition device. The machine tool may be a lathe, a grinder, a milling machine, a jig bore, or any other type of machine tool.