Vitucci began his career as a basketball coach with the Reyer Venezia's youth team, and at the same time he was the assistant coach for seven years on the senior team of
Venice. He later became the head coach of the team and achieved the promotion to
Serie A in 1996. After the bankruptcy of the club he went to
Andrea Costa Imola. He took part of the
Korać Cup and the
Saporta Cup. In 2003 he became assistant coach of
Benetton Treviso, and stayed for seven years. In 2010
Scandone Avellino offered him the bench as head coach for the next two seasons in
Serie A in place of
Cesare Pancotto. On 7 June 2012 Vitucci became the head coach of
Pallacanestro Varese signing a contract for two seasons. Varese won the
2012–13 regular season with 46 points (23 victories and 7 defeats), but in the playoffs they were eliminated by
Montepaschi Siena (4–3 in the series) at the semifinals. In July he left Pallacanestro Varese and returned to Scandone Avellino for two more seasons. In December 2015 he became the head coach of
Auxilium Torino. On 14 December 2017 Vitucci became head coach of
New Basket Brindisi. On June 2, 2023, he signed with
Universo Treviso of the
Lega Basket Serie A (LBA). ==References==