The Israeli Ynet news site says the soldiers were in a community centre in a village
Obama, en route for a visit to India, called King Salman from Air Force One to "personally express his sympathies" following the passing of King Abdullah, it said in a statement.
It said King Salman welcomed the news that Obama would travel to Riyadh on Tuesday to meet with him and offer condolences. The White House announced earlier on Saturday that Obama would cut short his trip to India to travel to Saudi Arabia.