I saw an epoxy at our Home Hardware chain a few years ago that should work but it was a little pricey at $20 a kit. You didn't say how strong a bond you need. The contact cement might work as that is a pretty strong solvent in it and it might bite into the nylon. Maybe double sided carpet tape might work if you just want if a weak bond is okay.
Someone I consider a master woodworker once told me that a master woodworker is not someone who never makes mistakes. He is someone who is able to cover them up so that no one can tell.