Abstract: A method and apparatus are provided for constructing a security screen that includes several parallel security threads woven into a fine screen mesh. Adjacent ends (42, 44) of adjacent security threads (21, 22) are joined together or to a splicing thread (40), to create a continuous strand (60) that extends in a sinuous path through the entire screen mesh, and the continuous strand is used to pull a security wire (64), such as an insulated copper wire through the screen mesh. By joining opposite ends of a long splicing wire to adjacent ends of two security threads, applicant is able to join the security threads into a continuous strand, without cutting away a lot of screen mesh. An end of a security thread is pressure-butt welded to an end of another security thread or to the splicing thread by holding the end of the security thread and pushing in and crinkling the fine screen mesh so the end of the security thread is accessible for welding.