Two possible methods , polyeurothene sealant same as used for windscreens would work . Spread a layer on the actual mat not too thick but enough to transfer the sealant to the piece that's come out and then put the piece into the hole press down gently and if any sealant comes out around the edge clean it off with some turps . Second would be just the good old contact glue spread some on both surfaces let dry for a few minutes then put the piece back into the hole any excess can be cleaned with turps as well .
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