The Yemeni leader met on Sunday with the UN special envoy in Saudi Arabia's capital Riyadh to discuss the extension of a nationwide truce set to expire tonight, state-run Saba news agency reported.

The meeting between Yemen's Presidential Leadership Council (PLC) Chairman Rashad al-Alimi and UN Special Envoy for Yemen Hans Grundberg "intended to explore chances to extend the UN-brokered truce amid Houthi militia's constant intransigence about the underway efforts," said Saba.

Al-Alimi reaffirmed the support by the PLC and government for the underway efforts, highlighting the need to increase international pressures on the Houthi group to make it engage constructively and to put the Yemeni peoples' interest above all.

An updated UN proposal calling for an extension of the truce set to expire on Oct. 2 has already been received by both sides of Yemen's warring parties.

On Saturday, the Yemeni government said the government is studying the proposal and will deal with it positively to alleviate the suffering of the people in all provinces without discrimination.

However, the Houthi group's negotiation team for the truce published a statement later, saying the talks on truce renewal have reached a "dead end" and "the Yemeni government and the Saudi-led coalition should be responsible for the impasse."

Meanwhile, Mahdi al-Mashat, chairman of Houthi's political council, warned foreign oil and mining companies in Yemen to "stop looting Yemen's sovereign wealth, starting from six o'clock in the evening (on Sunday)" or facing "full responsibility," according to the Houthi-run al-Masirah TV.

The truce between the Yemeni government and the Houthi militia went into force on April 2 and was later renewed twice through Oct. 2.

Yemen has been mired in a civil war since late 2014 when the Iran-backed Houthi militia seized control of several northern cities and forced the Saudi-backed Yemeni government out of the capital Sanaa.