Yemeni Foreign Minister Riyadh Yassin called for the coalition to send ground troops, saying that "at some stage air strikes will be ineffective".
Rights groups have voiced growing alarm about civilian casualties from the nearly week-old air war aimed at preventing the fall of President Abedrabbo Mansour Hadi.
At least 37 workers were killed and 80 wounded overnight at the dairy in the port city of Hodeida, provincial governor Hasan al-Hai said, without specifying whether the factory was hit by an air strike or rebel shelling.
Part of the factory was destroyed and rescue teams were looking for survivors under the rubble, according to a medic at a Hodeida hospital that received the casualties.
The circumstances of the bombing were unclear, with some witnesses saying the dairy was hit by a coalition air strike and others blaming rebel forces loyal to former president Ali Abdullah Saleh.
The Saudi-led coalition bombarded rebel positions early Wednesday in Yemen's main southern city Aden in a seventh night of raids that also targeted the capital and other areas.
He said there were "many dead and wounded" among the Huthi Shiite rebels but was unable to give a precise toll.
The coalition has vowed to keep targeting the Huthis and allied army units loyal to Saleh until they end their insurrection.
Egyptian President Abdel Fattah al-Sisi urged the rebels to "back off" for the sake of their country.
"The stability of Yemen and the safety of its people hangs from your necks," Sisi said in a televised speech to military and police officers.
Overnight strikes targeted rebel positions including camps of army units loyal to Saleh in the north of Aden, around Sanaa and in the central region of Ibb, residents said.
Six civilians were killed in an air raid targeting Maydi in the northwest province of Hajjah, according to medical sources.
And several Huthi positions were targeted in the northern rebel strongholds of Hajjah and Saada.
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