People like permabond and loctite can do them.
How to glue silicone foam mat.
The silicone glue is an adaptable bonding and sealing adhesive that allows you to manipulate foam rubber as the glue dries.
To glue silicone rubber to metal.
Applying glue to a small piece of foam place the two pieces of cushion foam that need to be glued on top of each other with the sides to be adhered facing outward as shown to the lower left.
Silicone glue works best on silicone rubber.
Liberally apply adhesive coating both pieces and allow about 10 seconds for the glue to become tacky.
Warm the polypropylene surface with a hair dryer or heat gun.
So yes you can use liquid nails type adhesives but you will be better off with their general construction adhesive than the milder stuff designed for polystyrene.
Saturate the silicone rubber surface with an adhesion promoter designed to work with poly s.
Epoxy silicone vinyl caulk and many other glues and adhesives will work.
Rough the silicone rubber and the metal with a low grit coarse sand paper.
Bonding the foam together.
It is fairly easy to obtain at hardware or big box home improvement stores.
Since you are working with foam mats you can slice into the foam to give more contact area for the adhesive.