I use a 9mm seating/taper crimp die on my 380 rounds. It is right at the edge of adjustment limits though. I have also experimented with exchanging seating plugs between 9mm, 380, and 38 special. Some work, some dont, depending on length.
I own a set of 380 dies but the morons at Hornady supply a roll crimp seating die in the set and expect you to buy an additional taper crimp die. First and last time I spend money on their reloading equipment. All of my other die sets (Lee) include everything needed for that cartridge, work flawlessly, and cost much less.
A 9mm expanding die should work too. But I suspect certain brands may run out threads before reaching the required depth. Resizing dies are certainly not interchangable.
Most 9mm shell holders do not work either. With Lee equipment, it is the same one as for 223.
My advice would be to avoid any headaches and just go grab yourself a set of Lee dies.