Super Glue or Cyanoacrylate adhesives bond very quickly and to a range of substrates. They form a very strong bond and dry clear. The surfaces to be mated must fit together well to achieve good bonding. You can buy super glue in a variety of viscosities which enable some leeway in gap filling performance. However, super glues can be finicky with respect to surface contact and coverage- too much or too little can affect the bond.  In general, super glues are not good for foamed plastic, unless specified on the bottle.