Hi all,
I have an outdoor light fitting that looks to have been, for want of a better term, royally screwed over the years. The screw heads have been totally stripped, and on one of the screws I can see it's been attempted to drill through. On the less-damaged screw, I've attempted to drill a pilot hole to allow a screw extractor to be used, but the screw extractor simply gets no purchase.
Looking at the attached pics, would you suggest any particular course of action? Right now I'm using HSS drill bits, but am assuming I might need something harder if I want to completely drill these screws out?
Many thanks in advance!

