The goal came during in the team's Group E Euro 2016 qualifying match against Lithuania.
Vitaioli sent the San Marino fans and players into raptures when he levelled the tie to 1-1 in the 55th minute with a right-footed strike.
After finding the net, Vitaioli sprinted over to the touchline, where a massive pile-on ensued between ecstatic players and staff.
Despite his fine free kick, San Marino conceded a cruel late goal in the 91st minute - when they were just seconds away from a draw.
Had they held on, it would have been just the fourth draw in a competitive fixture in the club's history.
Since playing their first match in 1990, San Marino are yet to win a competitive fixture. Although they did manage a 1-0 win in a friendly match against Liechtenstein back in April 2004.
Part-time footballer Vitaioli, 26, was delighted with his goal but was disappointed to concede late on.
"We deserved a lot more," he tweeted after the game. "But I wouldn't change this squad for anything."
Vitaioli still has some way to go before he reaches the club record of eight goals, held by veteran striker, Andy Selva.