"Our appeals to the leader of the conference were met with a negative attitude", Houthi said.
It was a bitter end for the former president who had ruled the north of Yemen and then a united north and south for almost 34 years.
According to Al Arabiya, the GPC sources said that "Ali Abdullah Saleh was killed during clashes with the Houthis in the country's capital of Sana'a".
Saleh's son has reportedly been injured and captured by the Houthis, while Yasir Awadi, the deputy chair of Saleh's party dubbed General People's Congress, was killed like the former president.
Multiple images and videos of what appeared to be Saleh's dead body were posted to social media sites, though could not be immediately confirmed.
Saleh ruled Yemen for more than three decades until he was forced to resign following an Arab Spring uprising in 2011.
Saudi Arabia along with other Sunni Muslim countries intervened to reinstate the government of President Abd-Rabbu Mansour Hadi, who was ousted by the Houthis in 2014.
Abdul-Malek al-Houthi described Saleh's killing by Houthi forces as a 'historic defeat to the forces of the coalition, ' referring to the Saudi-led alliance.
Israeli missile targets military base near Damascus
The incident reportedly occurred Friday night, with IDF planes attacking the Iranian base at al-Kiswah, south of Damascus. Israeli Prime Minister Benjamin Netanyahu says Israel will not allow Iran to establish its military presence in Syria.
Since the bombing campaign against Yemen began in 2015, the United Kingdom has licensed roughly US$4.2 billion dollars in weapons to Saudi Arabia, according to PressTV.
Saleh's loyalists have lost ground on the sixth day of heavy urban warfare with the Houthis during which the death toll has jumped to at least 125 with 238 wounded, according to the International Committee of the Red Cross.
Earlier in the day, Sanaa residents had told The National that the Houthis were besieging Saleh's palace, as well as residences belonging to his relatives and prominent supporters.
The fighting in the capital of Sanaa caused residents to cower in their homes as explosions rocked the city overnight. Though he was deposed in 2012, he remained a key factor in the country's ongoing resistance to the Saudi-led, USA and British-backed war against the country, allying his forces with Houthi rebels.
He said the Houthis have put a stop to a massive plot, which represented a serious threat to the country and to its stability and security, as well as the unity of its people, by handing it over to its enemies, after they had failed to capture it in almost three years of battle.
Before Sunday night, he said Republican Guard soldiers had been in control of most of the capital's streets and the rebel-run government headquarters, but that the Houthis had made dramatic gains in recent hours.
However their alliance has been marked with tensions with news this weekend that Saleh was happy to begin talks with Saudi Arabia to end the conflict in the country which has killed more than 10,000 people and displaced more than 11 per cent of the country's population.