I had the same problem with a used Thunder 380 CC. There was an extractor issue that caused a feeding problem but I still got stovepipes after that was fixed, so I called the repair facility back. The conversation went something like this:
"This is a very common problem. You have other guns, don't you?"
"Yes."
"Are any of them higher caliber?"
"They all are."
"How much higher?"
"Most of them are 45s or 357s."
"Do you have any other small caliber handguns?"
"No."
"Then you have a grip problem. To people who commonly shoot higher caliber guns, the 380 is like a cap gun, so they relax when they shoot it. They problem is that they relax too much and they 'limp wrist' it. Don't worry. That phrase isn't a reflection on you. It's just a term for being too relaxed and letting the gun pop your wrist back too easily. Since your wrist is actually absorbing most of the recoil now, the slide and extractor on the gun don't have enough energy left over to do their job and a stovepipe is the most common result. Sometimes it will fail to feed as well. Try gripping it like your 45 and see if the problem goes away."
Sure enough, he was right. When I stopped being so casual with it and used a proper grip, the gun fired flawlessly. However, if that doesn't work, Bersa warranties are transferable to the second owner and they do honor them. Those repairs I mentioned earlier were absolutely free even though I was the second owner of the gun, because it was still in the warranty period. All I paid was shipping.