[cobra de capell]

I need to replace all my emblems - looks like the original ones are on the car when it was built by ERA in the late '80's - they appear to have some sort of rubbery stuff on the inside and I started to remove some, but thought I should see if that is a good first step and I don't want to mess this task up.

Could someone tell me how they are actually attached? Also, what is needed to re-attach?

Thanks.