GENEVA — As Saudi Arabia and its Arab allies pressed their military offensive against Houthi rebels in Yemen, Saudi diplomats were waging their own battle to fend off calls in the United Nations Human Rights Council for an international inquiry into abuses by all parties to the Yemeni conflict.

Those calls came in a council resolution submitted Thursday by the Netherlands, with support from a group of mainly Western countries, that requests the United Nations high commissioner for human rights send a mission to Yemen.

The Dutch resolution draws on deepening international alarm over the civilian toll inflicted by both sides in the conflict and the effect of a blockade imposed by the Saudi-led coalition that has delayed delivery of humanitarian aid, including medicine and the fuel needed to keep the dwindling number of hospitals operating.

At least 1,527 civilians were killed and an additional 3,548 injured between late March and the end of June, the human rights commissioner, Zeid Ra’ad al-Hussein, said last week when he presented a report that recommended an international inquiry into actions that may amount to war crimes and crimes against humanity. The report blamed both the Houthi rebels, who emerged from Yemen’s north and who last September seized the capital, Sana, and the Saudi-led coalition for indiscriminate attacks, but it pinned responsibility for most of the casualties on coalition airstrikes.