Collect any pieces that have broken off from the main statue. Dry fit them to match up the right pieces.
Clean the surfaces to receive adhesive. Brush off any dust or dirt. Wipe the surfaces clean with a damp cloth and set them aside to thoroughly dry before gluing.
Apply 15-minute, two-part epoxy. Mix it per manufacturer's instructions. Spread it on mating surfaces of the broken-off pieces. Press the pieces together. Use duct tape to wrap around the smaller pieces and allow the epoxy to cure for 24 hours.
Mix up more epoxy the next day and glue the pieces from Step 3 to the main statue. Bind them in place with more duct tape to apply pressure. Wait 24 hours before removing the tape.