I use Beacon Foam-Tac on my airplanes, glueing the soles back on my steel toed work sneekers, many many other things. Might be worth a try, is good stuff.
*For RC Builders – Hands down, Foam-Tac is the best choice for building and repairing all parts of foam planes including motor mounts, control horns and rods, attaching servos, and tacking down wires.
*NOW in a MINI tube with a precision applicator tip*
Materials It Bonds: FOAM-TAC bonds all types of foam including EPP, EPO, DEPRON, Basla, 3D Printed Pieces and Carbon Fiber
Features: Strong, Flexible, Weatherproof, Waterproof, Does not expand, Does not yellow, UV Resistant