I would recommend a polyurethane glue.
(Gorilla Glue, or Elmers Ultimate Glue...I find the Ultimate Glue to be just as effective, but considerably less in price)
It bonds to practiaclly any surface (glass? not all that well), and once cured (about 6-8 hours) it is sandable and paintable.
I DO highly recommend clamping the piece, however, as polyurethane glue expands as it cures - you may get some that oozes out of the joint, and will need to be scraped/sanded off.
...but that will be a permanent joint.