Very few of any of the Italian (& Spanish) civilian models replicate anything in particular, since they are engineered to fit the requirements in a factory setting to become a manufactured product.
This rifle is similar to the old Hatfield Rife that Ted Hatfield produced in the '70's and '80's. I was a Hatfield dealer back then, and learned later that Ted was getting everything, except the wood from Pedersoli.
After Hatfield closed their doors in St Joseph, MO, the company was resurrected by another outfit in MO, but they succumbed to closing in the early '90's(?). Pedersoli started carrying the "Hatfield Style" rifle in their own line, first calling it the "Blue Ridge Hunter", and now, "The Frontier Rifle".
I believe the barrel has a patent breech designed breechplug and is usually fouled after a number of shots,creating misfires. A .22 caliber bore brush or a custom-made scraper on a range rod can help alleviate the fouling. The barrel is not held in the stock with pins, but with two screws that hold the ramrod pipes to the wood and threaded into bosses on the bottom of the barrel.
Clearly, not even close to replicating anything made in the 18th or 19th century.