Battle of the bulging brass

[Walking Softly]

I’m looking for some advice,
I’m reloading 9mm on a newer Star, thanks Bruce! And 45 Auto on a Phelps. My range pickup brass in both calibers sometimes has a ‘Glock bulge’ at the base. The brass runs through my presses without any trouble but hangs up in tight chambers.

I’m looking for a on-press solution to eliminate the bulge.
  I’ve already readjusted my sizing die down to contact the shell plate.
  Can I have the sizing die ground down?
  Does anyone use an undersize die, that can be threaded onto a star?
  Does anyone use a Factory crimp die on their Star?

What do you experienced loaders recommend?

Thank you!

[NYKenn]

I try not to use Glock fired brass, but get some occasionally. To fix this, I use a Lee .003 undersize sizing die in a separate single stage press. I removed the decapping pin. This die works well and has eliminated the "Glock bulge" issues.
I would expect you could get the Lee die machined to Star threads. Would just need to be careful in setup, that it does not encounter the locator tabs.