SEOUL - Rift deepened among South Korean politicians over the ways to remove President Park Geun-hye after the embattled leader threw the ball of decision on her fate to parliament.

Choo Mi-ae, chairwoman of the biggest opposition Minjoo Party, and former ruling Saenuri Party Chairman Kim Moo-sung, who is leading the anti-Park faction in his party, met on Thursday to discuss the way of removing the scandal-hit president from office, according to local media reports.

The meeting was held at the chairwoman's suggestion, but the political big shots failed to reach any agreement on detailed schedules and legal procedures for the president's departure.

On Wednesday, three main opposition parties of South Korea urged Park to unconditionally and immediately step down, vowing to push Park's impeachment unwaveringly after Park made her third address to the nation.

Chiefs of the biggest opposition Minjoo Party, minor opposition People's Party and the Justice Party held a trilateral meeting, agreeing that they will never negotiate the shortening of presidency, which requires the amendment of the constitution.

Their emergency meeting came a day after President Park addressed the nation for the third time since a scandal involving her and her decades-long friend, Choi Soon-sil, emerged last month.

Apologizing to the nation, Park said she had believed things would contribute to the public's interests, stressing that she had never pursued her personal gains "for a flash."