I'd try it. They are really close & you might get lucky. It won't hurt anything.
Based on a failed attempt to use a 10mm one for .40 cal. a while back, I would say it won't work. The .40 cal. brass was too short to reach the expander / belling portion of the die.
GS
Lee makes a set specifically for 10mm. Then they also make a .40S&W set that will reload 10mm as well. http://leeprecision.com/3-die-set-10mm-auto-carb.htmlI thought the LEE set accommodates both calibers.
I'll try to get a Dillon shell plate for the 380 and use my Dillon 9mm powder funnel and locator buttons which are interchangeable with 380.