Parti démocratique slovène
In June 2000, Brezigar was appointed Minister of Justice in the short-lived centre right government of Andrej Bajuk. The September of the same year, she unsuccessfully ran for the Slovenian National Assembly on the list of the Slovenian Democratic Party. In the 2002 Slovenian presidential election, she ran for President of Slovenia with the support of the Slovenian Democratic Party and New Slovenia. She was defeated in the run-off elections by Janez Drnovšek.