Muslin began his head coaching career in 1988 and has since had stints in France, Morocco, Serbia, Bulgaria, Ukraine, Belgium, Cyprus, Belarus, Russia and Saudi Arabia.

Throughout his six years at the Marakana, he played alongside some of the club's biggest stars, such as Dragan Džajić, Vladislav Bogićević, Jovan Aćimović, Vladimir Petrović and Dušan Savić.

With a potent squad of quality up-and-coming players like Bixente Lizarazu, Christophe Dugarry as well as superstar-in-the-making Zinedine Zidane, Muslin led the team on a great run in the 1995–96 UEFA Cup ensuring progression to the quarterfinals before winter break 1995–96.

He was sacked during spring 1996 due to poor domestic league form, which meant that he didn't get to lead the team in the UEFA Cup quarterfinals where the Girondins eliminated the favourites AC Milan and later made it to the final where they lost to a Bayern Munich team featuring the likes of Lothar Matthäus, Jürgen Klinsmann, Oliver Kahn and Markus Babbel.

Muslin took over the reins of his old club Red Star Belgrade on 20 September 1999[2] in difficult circumstances after Miloljub Ostojić was sacked because of poor league form and a 1–0 first leg "home" loss (the match being played in Sofia due to an air traffic embargo imposed on FR Yugoslavia following the NATO bombing that ended a couple of months earlier) to Montpellier in the UEFA Cup first round.

Though he couldn't lead his squad past the French team in the second leg (his first match in charge), Muslin won the domestic double (league and cup) at the end of the season in impressive fashion.

[3] The specific reason was never given, but it is widely believed it had to do with the ongoing simmering row with striker Mihajlo Pjanović that came to a head during the Champions League third round qualifying tie, when Muslin dropped the 24-year-old forward and Red Star ended up losing 0–3 to Bayer Leverkusen.

Simultaneously, Muslin also led the team in 2004/05 UEFA Cup – with much less distinguished outcome – after successfully overcoming the qualifying stage, Metalurh was demolished by Lazio (0-6 on aggregate).

With star forward Dmitri Sychev as the team's undisputed leader on the pitch, Lokomotiv started the Russian League 2006 season in great fashion, jumping ahead early to the top of the table and going on an 18-match unbeaten streak at one point.

Closely pursued by CSKA Moscow, Lokomotiv kept holding on to the top league spot until mid-October when a string of indifferent results saw them surrender it.

Muslin was already under the gun following his team's elimination in UEFA Cup's first round to Belgian side Zulte Waregem, and after giving up the league leading position, he was promptly fired in October 2006.

He arrived at the club in the middle of a bad run of results that prompted previous coach Ariël Jacobs' departure with Lokeren in 13th league spot.

On 7 August 2009, he signed a contract with the Cypriot club Anorthosis Famagusta, a year after the team's appearance in the group stages of the UEFA Champions League in the 2008–2009 season.