The European Union (EU) on Tuesday called on Yemeni warring parties to accept the UN-proposed six-month extension of the truce beyond Aug. 2.

"This is what the Yemeni people wish and deserve after suffering under the conflict for too long," the EU said in a statement, reiterating its full support to the UN-led peace efforts that aim at bringing an end to the prolonged conflict in Yemen.

Various news outlets have reported this week that the United Nations has been pushing the country's warring parties to agree to extend the current truce, which will expire on Aug. 2, for another six months.

The EU also expressed "deep regrets" about the Houthis' rejection of the latest proposal by UN Special Envoy Hans Grundberg on road reopening, notably around Taiz, urging the Houthis to "reconsider and accept the proposal."

The government-controlled Taiz has been under siege since the civil war erupted in Yemen in late 2014. Lifting the blockade would facilitate the movement of citizens and their access to humanitarian aid.

It is also the last major term to be fulfilled pursuant to the agreement reached by the warring parties before entering the ceasefire in April.

The warring parties also agreed to resume commercial flights to and from the Houthi-held Sanaa airport and allow the entry of fuel ships into the Houthi-held port of Hodeidah.

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