[rickst29]

DuPont (the inventer of XPS styrofoam) recommends UHU 'POR'. That's available in smaller tubes as a brush-on product. It also behaves as a no-adjustments' contact cement. The drying time (before assembly) is slower and water-vapor dependent.
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With less than perfect technique, or a need to slightly adjust the contact (getting rid of air bubbles), a less powerful glue would be a better choice. 3M "Super 77" spray apparently allows such repositioning for several minutes. But I don’t know whether it depends on water vapor to cure properly, and it has the same issue of high cost with the adapter included.

Everyday Gorilla Glue might also do OK, but it needs vapor contact to dry. You would probably be wise to to let it dry up most of the way before sticking the aluminum down, because it will have a hard time becoming cured between the aluminum and the thick foam.