He was part of the European People's Party parliamentary group and served as member of the Committee on Civil Liberties, Justice and Home Affairs.
His father was Tomo Brejc, an influential antifascist left-wing trade unionist who had emigrated from the Julian March to the Kingdom of Yugoslavia in the 1920s and fought as a partisan in the Yugoslav People's Liberation War.
After the victory of the DEMOS coalition at the first democratic elections in 1990, Brejc was appointed Director of the Slovenian Security and Intelligence Service.
He carried out the difficult task of democratization and pluralization of an institution that had served as one of the columns of political oppression during Communist times.
His son-in-law, Gregor Virant, was the Minister for Public Administration in Janez Janša's government and was the leader of a liberal political party (the Civic List).