Hello and welcome to The High Road.
I have owned a couple of Bersa .380 pistols over the years; one was all-steel and I currently own a Bersa Thunder. I chronographed the following loads fired from this Bersa and the average velocities listed are based on 10 shots fired right at 10' from the muzzle:
Winchester USA 95-gr. FMJ: 912 ft/sec
Magtech 95-gr. FMJ: 893
Glaser 70-gr Safety Slug+P(Silver): 1242
Corbon 90-gr. JHP +P: 1050
Empresa Nacional
Santa Barbara 95-gr. JSP: 1029
Magtech 85-gr JHP Guardian Gold +P: 1001
Federal 90-gr. JHP: 960
Remington 88-gr. JHP: 972
Hornady 90-gr. XTP: 917
Winchester 95-gr. JHP RA380T: 896
Remington 102-gr Golden Saber: 855
I did not have impressive expansion results with the Magtech Guardian Gold, but others report that it has worked fine. Mine was an early lot number so it is possible that the bullet's been tweaked a bit and performance is better. I don't know.
Of the loads listed, none grouped much better or worse than the other and all possessed more than enough accuracy for the defensive role the gun might primarily be intended for.
Perhaps worthy of consideration is that the lower portion of the Bersa's feed system on the lightweight pistol is of aluminum alloy. Some have reported dinging up this area with really blunt JHP's or those having sharp edges around the hollow point or meplat area.
In my pistol, I'd use either the Federal Classic 90-gr. JHP, the Winchester RA380T, the Golden Saber, or Hornady XTP's. I found no discernible difference in expansion between the Golden Saber and the Winchester Ranger load and the latter can be hard to find. If penetration concerns are high on your list, you might take a gander at the XTP. It usually expands to about 1.5 x original diameter and penetrates an inch or two deeper. Though the bullet is a truncated cone, it apparrently impacts the ramp such that the flat point doesn't hit it headon.
The Spanish 95-gr. JSP is not listed as +P, but it IS hot. Frankly, I don't intend to shoot any more of it in my aluminum frame Bersa.
These .380 JHP's were fired into water from a Bersa .380 pistol. Top left: Winchester RA380T, Top right: Remington Golden Saber, Bottom left: Corbon JHP +P (One of the few I've seen fail to expand), and Bottom right: Hornady XTP
As is the case with
any handgun round commonly used for self-protection, placement will win out over bullet design. Whatever load you choose, make sure it is reliable in your individual pistol. With the Bersa that should not be a problem.
Best and good luck.