"We knew about their plans. We knew they were coming and we were prepared," Chachra said.
The area along the Line of Control is closed to outsiders, and even to local residents without special permits. Few details have emerged about the gunbattles, or even independent confirmation that they occurred. Lt. Gen. Gurmeet Singh, another Indian army commander, said last week that 12 militants had been killed in the fighting.
Lawmakers in Indian Kashmir have raised doubts about the fighting, which the military says happened a few kilometers (miles) inside Indian-held territory in and around the abandoned village of Shala Bhata.
"The government should clarify as to whether those killed are really militants or local Kashmiris," Abdur Rashid, a local lawmaker, earlier told the state assembly.
Chachra called "absolutely false" Indian media reports that some Pakistani soldiers had occupied the village or Indian military outposts near the de facto border. "The sanctity of the Line of Control can never be trampled with," he said.
He accused the Pakistani army of backing the infiltrators, an allegation Islamabad denies.
"The narrative you are hearing about incursions and infiltrations is baseless," Salman Bashir, Pakistani high commissioner in New Delhi, said Sunday, according to the Press Trust of India news agency.
India and Pakistan have fought two wars over control of Kashmir since they gained independence from Britain in 1947, while rebel groups have been fighting since 1989 for independence or for merger with neighboring Pakistan, though most resistance is now shown through street protests.
An estimated 68,000 people have been killed in the conflict.
A 2003 cease-fire agreement between India and Pakistan has largely calmed the disputed Kashmir border. But the two sides occasionally accuse each other of violating it by firing mortars or gunshots.