In the next season, the club participated in the worldwide, national domestic, and European competitions, under the sponsorship of POP 84 (an Italian clothes company from Ancona).

In the years 1989, 1990, and 1991, the team, which was known back then as Jugoplastika and POP 84, with players like Dino Rađa, Toni Kukoč, Žan Tabak, Velimir Perasović and Zoran Savić, won the European top-tier level basketball trophy.

One of the greatest dynasties in European-wide basketball club competition history, came between 1989 and 1991, when Split simply dominated the FIBA European Champions Cup (EuroLeague) like no other team had in decades.

Head coach Božidar Maljković, put together arguably one of the most talented young teams ever seen anywhere: featuring Toni Kukoč, Dino Rađa, Žan Tabak, Velimir Perasović, Zoran Sretenović, and Luka Pavićević, who joined forces with veterans like Duško Ivanović.

Once in the final, Jugoplastika edged Maccabi 75–69, behind 20 points from Rađa, and 18 from an unstoppable Kukoč, whose combination of size, speed, and incredible court vision, turned him into a one-of-a-kind player.

FC Barcelona was backed by thousands of fans, and managed to get a brief 61–59 lead, late in the second half, but Kukoč buried a couple of critical three-pointers, that sent Jugoplastika on its way to its second straight title.

Despite being without Dino Rađa and Duško Ivanović, the team from Split was led by a great Toni Kukoč, and a genius-like Zoran Savić, to their third consecutive title.

German club Bayer 04 Leverkusen of the Basketball Bundesliga, made its debut in the third round, but the other faces were well known to everyone: FC Barcelona Banca Catalana ended first in that phase (11–3), POP 84 was second (9–5), and the other two Final Four teams would be Scavolini Pesaro and Maccabi Tel Aviv, tied at 8–6.