If the glue soaks through the felt the felt wont be soft after drying, that's why I suggested higher viscosity glue.
To cut the felt once the glue is dried you can use scissors and patience or, if you're a daredevil, fix a razor blade (eg with a small bench vise) and spin the bottom of your piece carefully against it. The Pichon-Rosset factory shop did it similarly, but with a rotating blade (felting process from minute 13:00 on, blade contraption shortly after 14:20)
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Well... you got wood on one side, fabric on the other...
Both should be fine, I think there's more collective experience with wood glue for re-felting though (I might be wrong on this but I believe most people have some wood glue at home anyways and just would use that instead of going out to buy fabric glue).
As long as the glue doesn't soak into the fabric probably any glue would be fine. I would refrain from hot glue, thermal shock could lead some woods to crack.
has anyone tried the fabric glue for the felt material side and wood glue for the wood plastic and marble sides?
I don’t know if mixing glues works, but it shouldn’t be needed. Last week, I used Aleene’s Quick Dry Tacky Glue to refelt carbolite (plastic) pieces, and it went perfectly.
A few times, the felt got too soaked with the glue, so some white could be seen on the bottom of the felt, in which case I threw the felt away and tried again. After a few felts, I got the process just right:
Here is the result of the refelted king:
the result is very clean. is soaking not recommended for a good sticky bond? how is the bounce and spongyness on the board of the refelted king with the tacky glue?