I drilled two today. It's a 6/32 screw with not much to drill into. I have a bunch of tiny drill bits and slowly work up to a #36 or 7/64". Sometimes the broken piece will loosen and fall out as you're drilling. Sometimes the drill bit will break. Have a 6/32 tap and an 8/32 tap handy in case you need to make the hole bigger. It's a slow process, but worth it if it keeps you from having to repair the wall. Mine were embedded in brick.