Rebels in Yemen are willing to meet one of Saudi Arabia's key demands for peace talks

Houthi rebels in Yemen's civil war indicated Monday they are willing to comply with a key Saudi condition for peace talks: They will stop firing rockets into Saudi Arabia.

This compliance with a long-time demand from Riyadh, which is leading a U.S.-supported coalition intervention against the rebel fighters, could help foster an enduring ceasefire in the tiny Mideast nation suffering the world's most acute humanitarian crisis.

"We are ready to freeze and stop military operations on all fronts in order to achieve peace," said rebel leader Mohammed Ali al-Houthi in a Monday statement. He also critiqued the United States' role in Yemen's grueling internal conflict, calling Washington the chief culprit of international aggression against Yemen.

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The United Nations sponsored peace talks between the Houthi rebels and the Yemeni government in September, but fighting has continued in the months since. The U.N. is pushing for a new round of diplomacy by the end of this month.