They said another six members of the Indian military were also injured in the battle.
The officials briefing the ambassadors questioned the timing of the attack, insisting it was more damaging for Pakistan than India.
Pakistan has denied any involvement and called for United Nations intervention.
"We urge Pakistan to fully cooperate with the investigation into the attack and to punish anyone responsible", Palladino said. "This is against our interest". "I want to give you (India) a guarantee that I will take action", Khan said.
India has long accused Pakistan of supporting militants in Muslim-majority Kashmir, a Himalayan territory divided between the two nuclear archrivals but claimed in full by both since independence from British colonial rule in 1947.
New Delhi blamed Islamabad for the attack but the latter rejected the allegations.
Roughly an hour after it was posted the message had more than 30,000 likes, but then was abruptly removed, replaced with video clips of the speech.
A civilian namely Mushtaq Ahmad is said to have received critical wounds during the exchange of gunfight, he said.
National Rifle Association of India (NRAI) secretary, Rajiv Bhatia on Monday confirmed that India will grant the visa to the Pakistani players to participate in the forthcoming Shooting World Cup, which is scheduled to be held in Delhi later this month.
Following the attack, reports of Kashmiris threatened and harassed by Hindu extremists in different Indian cities made it to newspapers, creating a sense of panic among Kashmiris everywhere. Pakistan says it only provides moral and diplomatic support to the Kashmiri people in their struggle for self-determination.
India, whose leader Narendra Modi faces elections in coming weeks, has accused Islamabad of harbouring the militants and vowed "the terrorist groups and their masters. have to pay a heavy price".
As troops began conducting searches, they came under heavy gunfire, leading to a clash that killed four soldiers, three suspected militants, a police official and a civilian. "The United Nations must step in to defuse tensions", he wrote, blaming India for deliberately ratcheting up its hostile rhetoric for domestic political reasons.
There were expectations that Saudi Crown Prince Mohammed bin Salman, who concluded a two-day visit to Pakistan on Monday and travelled on to India, could encourage the two South Asian neighbors to try to resolve their issues through talks. He is also due in India this week.
"Certainly there are no indications any of the matches, including the Pakistan-India match, will not be played as planned at the World Cup".
Scores of armed groups are now involved.
Rebels have been fighting Indian control in Kashmir since 1989 and the uprising and ensuing crackdown have killed about 70,000 people. Violence has spiked since 2016 with nearly 600 killed past year, the highest toll in a decade.
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