At the age of 14, Dedić started playing chess, and participated in his first tournament, the Labour Championship of Podgorica 1997.

[3] At the Montenegrin individual Championship 2002 in Nikšić, Slavko Dedić won the FIDE Master Candidate title.

[5] At the International tournament "Belgrade Trophy 2011" in Obrenovac, Slavko Dedić made his notable victory against famous French chess player Arnaud Payen.

[6] One year later, Slavko Dedić made the most significant result in his career, during the Second Montenegrin League in Andrijevica.

Most successful results, Slavko Dedić made on tournaments which hosted Montenegrin town Andrijevica.

After the match there were speculations that the Bosnian GM Vujovic Dimitrije cheated with the help of Dejan Tasev a famous Serbian FM which streams on twitch.