Bašić was at different times in his career a member of the Democratic Party (Demokratska stranka, DS) and the Strength of Serbia Movement (Pokret Snaga Srbije, PSS).
He worked at the Institute of Energy and Process Engineering at the University of Novi Sad, serving for a time as president of the faculty council.
[1] Bašić became the first elected president of the executive council of Novi Sad's city assembly in 1990, being chosen for the position over several other candidates.
Bašić subsequently joined the DS and was elected as chair of the party's provincial board for Vojvodina in 1993.
[10] In 1996, the DS joined with the Serbian Renewal Movement (Srpski pokret obnove, SPO) and other parties to form the Zajedno (English: Together) coalition.
Bašić returned in political life in 2004 as a member of Bogoljub Karić's Strength of Serbia Movement.