Lighting across all scenes

I’m doing an FPS and am doing the first person hands in an overlay scene to prevent clipping issues when close to walls and such.
But a problem is that the lighting in the game scene can be very different to my first-person scene. This causes a couple of problems, mainly the specular highlights not changing with the world and when walking down a dark corridor, the arms and gun still being completely lit. Is there some way for the first-person scene to mimic the lighting from the game scene? Or some other work-around that might fix it?

Thanks! :smiley: