Referring to the alleged strikes, India's Director General of Military Operations Lt. Gen. Ranbir Singh said in a Thursday statement that "some terrorist teams had positioned themselves at launchpads along the Line of Control."
"The Indian Army conducted surgical strikes last night at these launchpads. Significant casualties have been caused to these terrorists and those who are trying to support them."
"The operations aimed at neutralizing the terrorists have since ceased," he told a press conference in the Indian capital New Delhi, as quoted by AFP.
He did not elaborate on the nature of the operations, or whether Indian troops had entered Pakistani-controlled territory.
Singh said the action followed "specific and credible information" that terrorists were waiting to carry out attacks on India's territory.
Comment: The Indians are sounding more like Americans with each passing day.
He said the Indian Army had informed Pakistan about the operation, and is "prepared for any contingency that may arise." Singh claimed that India's military has foiled 20 infiltration attempts by terrorists this year.
"India is doing this only to please their media and public," Pakistani Defense Minister Khawaja Asif replied in a statement cited by Reuters.
Comment: Again, just like the Americans.
The Pakistani military said, "there has been no surgical strike by India, instead there had been cross border fire initiated and conducted by India." It said that Indian troops fired across the de facto border known as the 'Line of Control,' killing two Pakistani soldiers and injuring nine others.
It called Delhi's statements a "fabrication" and added that its soldiers "befittingly responded to Indian unprovoked firing."
"This quest by Indian establishment to create media hype by rebranding cross border fire as surgical strike is fabrication of truth," the military said.
The exchanges of gunfire, which lasted about six hours, took place in the Bhimber, Hot Spring, Kel, and Lipa sectors in Pakistan-administered Kashmir, the military's press wing said in an earlier statement cited by Reuters.
An Indian Army officer said there had been shelling from the Pakistani side of the border into Nowgam district in Kashmir, Reuters adds. The Indian side did not report any casualties or damage.
Comment: More statements from India:
India's disclosure of such strikes was unprecedented, said Ajai Sahni of the Institute for Conflict Management in New Delhi, and sent a message not only to his own people but to the international community. "India expects global support to launch more focused action against Pakistan," Sahni told Reuters. "There was tremendous pressure on the Indian prime minister to prove that he is ready to take serious action."
While both nations' nuclear weapons deter all-out war, Modi was probably frustrated after Pakistani Prime Minister Nawaz Sharif rebuffed several diplomatic overtures, said C. Raja Mohan, director at the Carnegie India think-tank in New Delhi. Sharif in 2013 became Pakistan's first leader to win power in a democratic transfer, but the nation has been ruled for almost half of its history by the military, which still wields great influence.
"There will be repercussions," Mohan said. "And the management of the repercussions will be the next challenge. Now let's see what they do. The ball is in Pakistan's court."
The Thursday incident comes just one day after Pakistan said that India will "disintegrate" when Kashmir gains independence.
Meanwhile, Pakistani Defense Minister Khawaja Muhammad Asif told SAMAA TV channel earlier this week that Islamabad is open to using tactical devices against India - a reference to nuclear weapons which Pakistan is believed to possess.
Threatening to "annihilate" India if Pakistan feels its safety is threatened, Asif said: "Tactical weapons, our programs that we have developed, they have been developed for our protection. We haven't kept the devices that we have just as showpieces."
Long-standing tensions between the two countries escalated earlier this month, when an attack on an Indian Army base killed 18 soldiers. The assault prompted Indian Prime Minister Narendra Modi to warn that the crime "would not go unpunished."
Comment: Five killed in fresh Kashmir clashes as India and Pakistan mark 'independence' from British empire
Relations also worsened over the summer, when India launched a crackdown on dissent in Kashmir following the killing of separatist leader Burhan Wani by security forces in July.
Both Pakistan and India claim Kashmir in its entirety, but govern separate parts of the disputed area. The two sides have fought four wars since independence from British colonial rule in 1947, two of them over Kashmir.
Comment: One of the world's longest conflicts sees no end in sight: World's longest conflict of Kashmir: 'We the people' should stand up.
Update: Pakistan claimed that India also suffered casualties in the fighting on Thursday - eight soldiers dead and one reportedly captured by the Pakistani army. India denied the report, adding that one soldier had "inadvertently" crossed the line of control. Pakistan also claims that the Indians never launched any "surgical strikes" on terrorist positions; the Indians stayed on their side of the line of control, but did engage in cross-border fire directed at Pakistani small arms and mortar positions for five hours. Pakistani general Bajwa: Pakistan convened an emergency cabinet meeting on Friday regarding the deteriorating situation in Kashmir. India then evacuated its border region of some 10,000 villagers, citing fears of "military reprisals" from Pakistan for India's cross-border strikes.
Today, India has proven that its fight against terror is serious business indeed. Indian authorities have arrested a Pakistani pigeon carrying a mean letter written to Indian PM Modi, reading: "Modi Ji, do not consider us same people as we were during 1971 (Indo-Pak war). Now each and every child is ready to fight against India." Keep up the good fight, India. The world has had enough of pigeons.
Update (Oct. 13): Somewhat hilariously, the pigeon tale continues. Arrested on October 2, the anti-Modi-message-carrying pigeon has had its wings clipped to prevent it from flying back to Pakistan. An anonymous Indian police official told the Telegraph: "We have sent a preliminary report to the union home ministry, including an x-ray report of the bird, which did not reveal anything suspicious." The same official revealed that police aren't even sure that the pigeon is from Pakistan! Talk about hysteria...