Mexican President Vicente Fox's right-wing National Action Party began a session Saturday to elect a new leader.
The candidates for the post are ex-governor of Guanajuato state Carlos Medina, former congressional leader Francisco Barrio, former Energy Secretary Felipe Calderon and former Jalisco governor Alberto Cardenas, who is now the environment secretary.
These candidates have resigned from top government posts in order to contest for the party's presidency.
The candidates, however, ruled out the possibility of internal fractures as a consequence of this change, or in the search of a candidate of the party for the 2006 presidential elections.
Fox himself cannot be a candidate because the Mexican law bars re-election.
Fox's election in July 2000 broke the 71-year rule of the Institutional Revolutionary Party. However, the popularity of the right-wing party drastically dropped later due to his poor performance.
The right-wing party still has a majority in both houses of Congress.