Born to Sabahudin Vugdalić, former handball goalie and current sports commentator on Televizija OBN, Muamer's early years of his career were associated with Olimpija Ljubljana.
After retiring from playing, Vugdalić became a sports journalist, working for Sarajevo-based Televizija OBN.
Consequently and especially after Serbian law prohibited TV card readings, he started working at five television stations in Bosnia and Herzegovina, including nationwide OBN television based in Sarajevo, and a number of television stations in Croatia, including nationwide Nova TV based in Zagreb.