You can use an epoxy like JB Weld and epoxy the tip of the bullet seater to match the bullet's tip.  I put the seater stem in my drill press and then bring the table up with the bullet on it until it seats in the epoxy along with a little pressure on it until it sets up.  Make sure you coat the bullet with lube.  I've read were some will even us aluminum foil or hot glue in the seater plug but I've never tried it.  Bob

Sometimes the nose punch is too narrow and even with the epoxy the edges of the punch can still leave a ring. I ussually grind out the mouth of the nose punch a bit before I epoxy.

To center it I put the nose punch and the bullet in my lubersizer to ensure it is centered or else  in the sizing die and the bullet in a FL sized case in a shell holder. In addition to putting a release agent on the bullet, I also drape a piece of stretch and seal over the bullet before I set the epoxy in the nose punch down on the bullet to harden.

Over flow can wreck your sizing die. Better to use a luber sizer if you are able to hold the sizing die nose punch in it.

I didn't get any notification of more posts so , I'm a bit late responding. I think I'll try the simplest method first and just take a round tubular hard stone and soften up the edges as they're extremely sharp. that could help but and if not, I'll try the JB or valve grinding compound. I have some of that but it probably won't do much as it's just 320 grit.

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Elijah don't waste your time with JB Weld, it is time consuming.  If you use valve grinding compound, the modification is permanent.  If you change bullets you'll have ring around the ogive again.

Use Hot Glue!  Clean the plug cavity, fill it up with hot glue, spit on the bullet nose and twist it in the hot glue.  Then take a razor blade and cut the excess glue from around the plug.  Less than 10 minutes.  Use a different bullet, pull out the glue and repeat the process for the new bullet

I use hot glue on top punches also

I have such an assortment of top plugs I've seldom run up on problems with those. It's been primarily bullet seating stems where I've had to consider modifications. Most of the time you get the appropriate seating plug depending on the mould but bullet seating dies seldom have more than one or two seating stems. If you have a Hoch mould, for instance, you may have to modify one of the stems or get another and change it if that current one works for other bullets.

Good suggestions given and thanks. I don't have a glue gun, John Boy, but it seems that's going to be added to my repertoire of goodies.