If I had to take a guess, I would scuff up one side of the phenolic panel to get rid of the sheen and then use contact cement. I don't think you'll get a good bond with any adhesive without really getting through the protective layer on the laminate.
Hi
Mike - as suggested above, the double-sided HPL may not have been the best choice? I usually use contact cement (non-inflammable products that clean up w/ water are now available) - I've bonded melamine, formica, & tempered fiberboard to plywood successfully w/ this material, but all had an absorbent backing.
The HPL as is would present a problem, and the solution suggested, i.e. scuffing up one surface may be your only choice, unless another poster offers a better option?
Regardless, if you do scuff up a surface and you have enough material you might want to do a test bonding before proceeding. Good luck - Dave
