The right size Torx bit and a lot of pressure solves this nearly every time for me. If you don't have a Torx bit you can try a Pentalobe or Hex wrench. Some suggest a rubber band between your screwdriver bit and the screw head, but I haven't had success with this.
Plan B ideas would be to put a small dab of superglue on a screwdriver and hold it in place until it dries. Then twist it out. I have also used a tiny bolt extractor bit for a drill. Worst case scenario, drill off the heads with a small bit. Maybe try to grind a slot into the head and get it out with a flathead screwdriver.
Pics could prove helpful, so go ahead and post them if you have them. Hope this helps a bit. Happy repairs!
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