Nylon, as well as most other poly-plastics known as polymers, are extremely difficult to glue together. This is due to the fact that they actually bond to themselves, which is what gives them their smooth shining texture and appearance, and there is nothing for a regular glue or epoxy to bond to. Nylon, PVC and even Teflon, all can be glued, however, provided you use a special glue designed for these space-age polymer materials.
Buy a special poly glue. Several glues on the market are specifically designed for bonding plastics and poly-plastic materials, like nylon. Some of these glues are made of Cyanoacrylates, which dry in seconds when exposed to air. Super and Krazy glues often utilise cyanoacrylates, but are too weak to hold nylon for very long. An industrial strength poly glue like Tech-Bond's Poly Prep, or Sure Hold's Plastic Surgery does the trick.
Apply the industrial strength poly glue to the nylon item you wish to glue. If you are gluing the nylon to another non-nylon or nylon item, have the item on-hand and place them together immediately as the glue begins to set when exposed to air. If you are gluing the nylon to itself, hold the two pieces together before applying the glue.
Hold the glued nylon tightly. Industrial strength poly glues set in as little as 15 to 20 seconds but need 24 hours to full make the bond. Hold the nylon and any other item you are gluing the nylon to together for 3 or 4 minutes. Place the nylon in an area where it will be undisturbed for 24 hours, and in a position in which gravity reinforces the bond instead of weakens it.
Avoid skin contact with industrial strength poly glues.