In the "case" of cast bullets, any .375 mould, sized or at least lubed, then reduced to the exact diameter you want with a Lee push-through die.

If lubed first, there will be ZERO damage to the bullet. If not lubed (lube grooves filled with lubricant), the lube grooves will collapse.

I tested this with some commercial 310gr. .375 bullets I obtained and reduced them to .367" for my 9.3x57 with one pass through the die I made. ZERO damage.