Thanks for the advice Roy, it worked out perfect without damaging the glass laminate.
Concerning gluing on the piece again, 2 part epoxy is still the glue of choice for this job, right?
I'm not sure why it detached, bad gluing (ruffed up both surfaces with 60 grit sandpaper followed by cleaning off with acetone prior to gluing) or bad design (if the overlay covers a bending part that'll put a lot of strain on it!) or both?
All inputs are welcome
\\Erik