Use wood glue, preferably a D4 (outdoor use) PVA. Titebond 3 or similar. Don't use PU, it foams and makes a ****ing mess of everything.
You will need to slightly rough the surface, 120 grit sandpaper and then don't touch the gluing surfaces with your hands. Spread a thin (translucent) layer of glue over both surfaces, make contact, and press for twice the recommended time (bamboo isn't wood, it's grass, and it behaves differently to wood). You'll get best results by vacuum bagging rather than using clamps, but if you have to clamp do so between 2 pieces of flat hardwood, and use as many clamps as you can. Don't over-press, you only need enough pressure to keep the surfaces in contact.
Remember that Bamboo isn't wood, it's grass. You absolutely must pre-drill all holes, and if you're considering dowels, make sure they are only "tight" as opposed to an "interference" fit, and glue, again with PVA.