"The Saudi armed forces today were able to repel an attack from the Yemeni side targeting several locations in Jazan and Najran," a coalition statement carried by the official Saudi Press Agency said early today, referring to two Saudi border districts.
"The attack turned out to be coordinated, planned and executed by a formation from the Republican Guard belonging to ousted president Ali Abdullah Saleh and with the support of the Huthi militia."
The coalition began air strikes on March 26 against the rebels and their allies in an attempt to halt their southern advance.
Although there have been border skirmishes and deadly rebel shellfire against Saudi Arabia since the war began, yesterday's battle is only the second major ground attack reported against Saudi territory by the coalition.
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In late April it said three Saudi soldiers died and dozens of rebels were killed after they attacked the Najran area.
Saleh, who led the country until 2011, has been on United Nations and US sanctions lists since November. His son Ahmed led the elite Republican Guard during his rule.