Data Sheet for Rigid PVC Foam Sheet (sometimes referred to as “Foamex”)Adhesive Bonding
For trouble free bonding ensure that surfaces are clean and free from grease, and most importantly are flush to each other. Suitable adhesives include most solvent types designed for rigid PVC or Tensol and Fusion Cements. For sticking the sheet to other materials most popular contact adhesives can be used such as Evostick Impact or EvoStick TX 528
Now, having said that, you'll probably find that a spray contact adhesive is best, particularly for attaching fabric. Something like this: No Nonsense Contact Adhesive