KUWAIT — Yemen’s warring factions agreed on an agenda on Tuesday for U.N.-backed peace negotiations, delegates said, following heavy pressure from world powers.

The talks to end fighting between the Iran-allied Houthis and supporters of Saudi-backed President Abd-Rabbu Mansour Hadi were launched last week but were suspended on Sunday amid bickering about flights over Yemen by the Saudi-led coalition.

The Houthis argue that the flights constitute a violation of the truce that began on April 10 to facilitate the talks. The Hadi government insists the flights are intended to prevent the Houthis and their ally, former president Ali Abdullah Saleh, from moving heavy weapons around.

Differences over the agenda had made it difficult for the two sides to start real negotiations to end the 13-month war that has killed more than 6,200 people, wounded more than 35,000 and displaced more than 2.5 million people.

The two sides had agreed last week to a five-point agenda outlined by the U.N. special envoy to Yemen, Ismail Ould Cheikh Ahmed, but remained divided over whether to start with a unity government or to focus on a Houthi withdrawal from the cities and the handover of their weapons.

Delegates said the two sides had agreed on Tuesday to work in two parallel committees.

Al-Qaeda in the Arabian Peninsula (AQAP) and Islamic State have exploited the crisis to expand their control in Yemen and to recruit new followers.