After three unsuccessful rounds, fourth time Kővári received a whopping 88.3% of the votes, however, only 11% of registered voters cast their ballots, less than half of the 25% required for the result to be binding. After that the Member of Parliament position remained vacant. Kővári was a non-partisan candidate for the position of Mayor of Pécs, but defeated by incumbent mayor Zsolt Pávirginia
In October 2009 he was the candidate of the Fidesz during the by-election in Pécs (Baranya County Constituency III), after Member of Parliament László Toller, who had been in a coma, declared incapacitated. His local movement, the Alliance for Pécs Association (ÖPE) ran independently from the Fidesz during the 2014 local elections.
He was a member of the Committee on Human Rights, Minority, Civic and Religious Affairs.
