In 2011, Yemen fell into chaos after an uprising deposed Saleh.
Former Yemeni President Ali Abdullah Saleh said on Saturday he was ready for a "new page" in relations with the US-backed Saudi-led coalition fighting in Yemen if it stopped attacks on his country.
Earlier, Saleh's General People's Congress (GPC) party, accused the Houthis of failing to honor the truce and said in a statement on its website that the Houthis bear responsibility for dragging the country into a civil war.
The statement was issued after a meeting between Hadi and his advisers to form a broad national alliance in the face of the militias Houthi.
According to the Saudi Press Agency, Maliki said the "control of these types of weapons by terrorist organisations, including Al-Houthi armed militias, represents a threat to regional and global security".
But Houthi rebels, his allies until this week, accused him of a "coup".
"I call on our brothers in neighbouring countries ... to stop their aggression and lift the blockade ... and we will turn the page", Mr Saleh said in a televised speech on Saturday, according to Agence France-Presse.
Israeli missile targets military base near Damascus
This isn't entirely unusual within Israel, as the military censors often compel the media not to report stories. There has been no official confirmation of fatalities by either Syrian or Iranian authorities.
The rally came after late-night mediation attempts between Saleh and the rebels failed to reconcile the two sides, sources in Saleh's General People's Congress party said.
The capital Sanaa has been shaken by escalating in-violence this week between supporters of Saleh and the Houthis, with more than 40 fighters killed and injured and residents now fearing a new front in an already devastating war.
He added: "We will deal with them in a positive way and what happened to Yemen is enough".
The coalition accuses Iran of trying to expand its influence into Arab countries, including Yemen by aligning themselves with the Houthis and Mr Saleh. Arab media is reporting that the former president's supporters have gained control of key government installations in the capital, including the defense ministry, the interior ministry and Sana'a Airport.
"Saleh's speech is a coup against our alliance and partnership, and exposed the deception of those who claim to stand against aggression", al-Houthi said in a statement made Al Masirah TV.
The missile attacks, which could further escalate the coalition's military campaign, underscore how the raging Yemen conflict is increasingly spilling across the border, threatening Saudi towns and villages.
The conflict and a blockade by the coalition has also left more than 20 million people in need of humanitarian aid, created the world's largest food security emergency, and led to a cholera outbreak that is thought to have killed 2,211 people since April.