P.S. While the 380 (9mm Short) might be somewhat underpowered, upgrading your ammo and amount of practice time will put more odds in your favor. My two favorite 380 loads are:
1. Buffalo Bore's 100-gr. Hardcast Flatnose Wadcutter Standard Pressure
@ 910 fps in 2.75” barrel (Item #27E). Deep (Cutting) Penetrator. Use FMJ if you have feeding problems.
380 Auto Standard Pressure Pistol and Handgun Ammo
2. Winchester's 95-gr.Bonded
PDX1 (S380PDB) @ 1,000 fps in 3.75” barrel. Use FMJ if you have feeding problems.
Unbonded HP's in an underpowered caliber will not produce enough penetration through the vitals. This is why a nice controllable standard pressure wadcutter is preferred with a heavy duty bonded HP coming in second.
As always, be sure your ammo has reliable functionality in your weapon. If the above loads do not function well in your 380, then use FMJ over another HP that doesn't penetrate well.
Example of readily available FMJ ammo:
Winchester White Box USA Brand:
Low-Budget Load at Walmart – When That’s All You Can Find!
95-gr. FMJ (Q4206) @ 955 fps.