[1] In April 2012, she represented the organization in supporting the Dignity at Work for Everyone project, pledging to fight for new jobs in Serbia while adhering to the European Union's standards on the rights of workers.

In 2000, the DC joined the Democratic Opposition of Serbia (DOS), a broad and ideologically diverse coalition of parties opposed to the authoritarian rule of Slobodan Milošević.

She continued in this role after Yugoslavia was reconstituted as the State Union of Serbia and Montenegro in early 2003, although her term ended later in the same year.

Vučković was given the 189th list position; the DS and its allies won thirty-seven mandates, and she was not included in her party's assembly delegation.

[9][10] The DS formed an unstable coalition government after the election with the Democratic Party of Serbia (DSS) and G17 Plus, and Vučković served as a supporter of the administration.

[14] Vučković chaired Serbia's parliamentary friendship group with France in this sitting of the assembly and oversaw a meeting of French and Serbian parliamentarians in Belgrade in April 2010.

She remarked that the visit was an opportunity for Serbian parliamentarians to review their country's priorities, one of the most important of which was joining the European Union.

[16] Serbia's electoral system was reformed in 2011, such that all parliamentary mandates were awarded to candidates on successful lists in numerical order.

[19] She continued to serve on the foreign affairs committee and was a member of the friendship groups with France, Germany, and the United States of America.

Vučković supported Tadić, and in a bid to ensure party unity she was elected as a vice-president at the conference that chose Đilas as leader.

[21][22] Vučković later supported Dragan Šutanovac's bid for the DS leadership in Belgrade; the rival candidate Balša Božović was chosen instead for the position amid deepening acrimony between the two camps.

Some DS politicians who opposed the boycott (most notably Gordana Čomić) left the party to contest the election on the list of the United Democratic Serbia (UDS) alliance.

[32] After the election, she reiterated her view that the boycott had been a mistake and expressed concerns about the DS's overall ideological direction, particularly in its willingness to co-operate with radical right-wing opposition parties such as Dveri.

[36] In 2013, she submitted a report (adopted by the PACE) to deprive Ukrainian politician Serhiy Vlasenko of his mandate and recognize Andriy Shevchenko in his place.

[37] In April of the following year, she announced the PACE's plans to monitor the upcoming presidential election in Ukraine, noting that it was important for delegates to visit as many regions of the country as possible.

[38] In June 2015, Vučković was chosen as a special PACE rapporteur to Turkey, in which capacity she co-authored a report that was strongly critical of the functioning of democratic institutions in that country.