He eventually found his way back to NK Čelik Zenica and was an integral part of their successes in the first few seasons of the independent Bosnia & Herzegovina.
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However, faced with little playing chances, he moved to FK Leotar Trebinje where he became a prolific goalscorer in the Yugoslav Second League.
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During the 1994 season and the final tournament held in Zenica, he was the joint top goalscorer together with Dželaludin Muharemović with 3 goals.
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The following year he continued with his good form when Čelik celebrated their second double in a row.
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Bujak has been a loyal servant to NK Čelik Zenica coaching the senior and youth teams at the club since the second part of the 1997/98 season.