Stoccareddo is located 3,100ft up in the Italian Alps and is thought to have been first inhabited by a Danish family by the name of Baù some 800 years ago.
Even among the five players who have a different surname, three have a mother whose maiden name was Baù, Italian daily La Stampa reported.
The surname doesn't just stop at the players: the team's owner, president and coach are also called Baù.
Roberto Baù, the team's owner, said things can get a tad confusing on the pitch: "When the referee calls Baù, 20 turn around," he told La Stampa.
Out of 380 of Stoccareddo's population, 370 are called Baù. The name has dominated the town since at least the 1400s. Because of its isolation, it is believed that not many of the Baùs were able to mix with outsiders.