At Juventus, Kovačević found goals in both the Serie A and competitions such as the UEFA Champions League and UEFA Cup becoming their leading European goal scorer, and the top-scorer of the UEFA Cup during the 1999–2000 season, with 10 goals; despite facing competition from the club's starting attacking partnership of Filippo Inzaghi and Alessandro Del Piero, Kovačević made a total of 44 appearances in all competitions in his first season with the club (27 in Serie A, 3 in the Coppa Italia, and 11 in European competitions), scoring 21 goals in all competitions (eight in Serie A, two in the Coppa Italia, and 11 in European competitions, one of which came in Juventus's victorious UEFA Intertoto Cup campaign, which enabled them to qualify for the UEFA Cup).