Simultaneously, despite putting in another confident season under new head coach Špaco Poklepović, Savićević butted heads with the Budućnost management resulting in the player not being taken to winter training with the rest of the team during the winter break. In late March 1988, Hajduk Split also joined the chase for his signature and, according to Savićević's claims, offered the largest sum of money of the three, but the player still decided to honor his agreement with Red Star. It was precisely against Hajduk—a team finishing up a disastrous league season—that Savićević played one of his last matches in the Budućnost shirt, scoring twice away at Poljud on 15 May 1988 for a memorable 1-2 come-from-behind win.