Mulalić made his debut for Bosnia and Herzegovina in a March 1999 friendly game away against Hungary and has earned a total of 2 caps, scoring no goals.
[3] In the Bosnian Cup competition, Mulalić led Željezničar to the semi finals, comprehensively losing to Sloboda Tuzla 2–5 on aggregate.
[6] In June 2017, Mulalić came back to Bosnia and Herzegovina and became the new manager of Bosnian Premier League club Mladost Doboj Kakanj.
In April 2018, about a month and a half before the end of the season, Mulalić left the club as it already secured safety from relegation.
[9] On 24 December 2018, Mulalić, alongside some of the players left the club due to financial problems that it had over the past months.
[12] In July 2019, more than half a year after leaving the club, Mulalić came back to Montenegro and once again became the manager of Rudar Pljevlja.
[13] In his first game in his second mandate as the club's manager, Mulalić's Rudar Plevlja lost 2–0 away in a league match against Budućnost Podgorica on 5 August 2019.
[22] Following back-to-back defeats against Leotar in the league and Velež in the first leg of the Bosnian Cup semi-finals, he mutually terminated his contract with Željezničar on 6 April 2023.
[26] Mulalić surprisingly left Igman on 27 April 2024, just two days before a crucial league game against Tuzla City in an effort to avoid relegation.