Super glue.
I've been using Loctite 15 second ultra control super glue. The more liquid and slower cure time, the better.
Squirt it between the glass and loose pieces, let it spread, then press down with plastic wrap (the Walmart store brand will do). Leave it alone for 24 hours, then peel up the plastic wrap.
You can do it in small sections--you don't have to super glue everything all at once.
But, once you're done, seal the whole glass with triple thick.