I highly recommend Goop adhesive.
http://www.homedepot.com/p/Amazing-Goop-3-7-oz-Household-Contact-Adhesive-and-Sealant-130011/100372166#
Despite the goofy name, it really is "amazing" for bonding smooth surfaced parts. I believe it is silicone based, but unlike silicone sealants and caulking...