Step 5. Once the piece is glued and taped together, it’s time to re-attach it to the block. This will take a little finesses. The cone should go smoothly back into the block for the most part. Depending on how stiff the cork is inside your block will determine how easily the cone will go back inside the block. Mine was a new, stiff block so it put up a bit of a fight. I gently pushed, twisted, wiggled, and finally really pushed the piece back into the block. I recommend starting more gently and applying pressure from there. You want to make sure the block does not loose any more cork than it already has.