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.