Could you try to deconstruct it through a slit along a side edge rather than tearing it completely apart. I don't know of a glue that would hold it together again for the long haul. Honestly if it were me and that little bulge drove me that crazy I'd go get a new one (I have one). They are available at Walmart for $9.99 now. Far less $$ than Hobby Lobby and JoAnns' charge for them.