.375" ball is perfect for a .380 bore. Hornady sells swaged .375" balls, but calls them .36 Cal. - probably as they are for the .36 Cap and Ball revolvers, which 'take' .375" balls.
Lucky you, if you don't want to cast your own.
I have a Lachmiller mould in my one of my mould drawer's, for .375" RB. I seem to remember it is a 3-cavity, with the middle cavity bored out to cast conical bullets in 3/8" copper pipe sections. The flashing from my dull pipe cutter's wheel makes the base and crimps the bullet inside the tube. A bit OT, I guess.