She served as General Adviser of the former President of Serbia Boris Tadić from 2004 to 2012.

Previously, she served as the Minister of Social Affairs in the Government of Serbia from 2000 to 2004.

She works as a consultant for the World Bank, UNDP and UNICEF.

From 2000 to 2004, she was the Minister of Social Affairs in the Government of Serbia under Zoran Đinđić.

In 2004, Matković received the "Konstantnin Obradović" award in the area of human rights promotion and in 2005 she won the annual Women in Business and Government award given by the Erste Bank and the European Bank for Reconstruction and Development.