Carini played for Uruguayan club Danubio F.C. for three seasons, before signing with Italian club Juventus in January 2001, where he spent two seasons and was used mainly as a substitute goalkeeper. In March 2002 he was handed a start against Arsenal in the UEFA Champions League due to Juventus rotating their squad having already qualified for the next round of the competition. He played well and saved a Thierry Henry penalty as Juventus won 1–0. Although Juventus finished the 2001–02 season as Serie A champions, Carini did not play in the league, as he served as the team's back-up goalkeeper behind Gianluigi Buffon; however, he was the team's starting goalkeeper in the Coppa Italia, ahead of Michelangelo Rampulla, where the team reached the final, only to lose out to Parma. Shortly afterwards during the summer of 2002, he nearly completed a loan move to Arsenal, but at the last minute, the move fell through due to the player's wage demands. He moved instead to Standard Liège, where he spent two years on loan. In 2004, Carini left Juventus for Internazionale, when he was exchanged for Fabio Cannavaro in a transfer which was worth €10 million. Despite being the first choice goalkeeper for his country, Carini was the third choice goalkeeper for Inter. After spending the 2005–06 season on loan at Cagliari, he went back to Inter, where he became the fourth goalkeeper behind Francesco Toldo, Júlio César and Paolo Orlandoni. Carini did not see a single minute of action over the next two years, a period during which Inter won the Serie A title in 2007. Before the 2007–08 season, he moved to newly promoted Spanish club Murcia to compete with incumbent first-choice goalkeeper Antonio Notario. He signed a three-year deal with the Brazilian club Atlético Mineiro in 2008, arriving on a free transfer. Atlético Mineiro rescinded Fabián Carini's contract in 2010; as a result, they had to a penalty to him, as his contract with the club ran until 2011. After his experience at Atletico Mineiro, the 31-year-old goalkeeper Fabian Carini signed a one season deal with Peñarol in December of that year. He later played for Deportivo Quito in 2013, and signed with Juventud de Las Piedras in 2014. When his contract with the latter club expired at the end of 2016, Carini decided to retire from professional football, due to cronic lumbar pain, despite having an offer to play in the Copa Libertadores with Montevideo Wanderers.
