Defence Minister Nirmala Sitharaman had welcomed the returned of the Wing Commander on Twitter after he returned to India through the Wagah-Attari border at around 9.25 pm on Friday.
Pakistan military spokesperson, Director General Inter-Services Public Relations (ISPR) Major General Asif Ghafoor had refuted all Indian claims of downing Pakistan Air Force (PAF) jet inside arch-rival's boundary.
An army statement said Indian troops undertook to fire along the LoC in Hotspring, Tatta Pani and Jandrot Sectors where India also "deliberately targeted civil population".
But tensions between the two nuclear-armed neighbours still prevail, with the United States and other global powers mediating to de-escalate them.
Abhinandan was captured a day after Indian planes bombed what New Delhi said was a militant camp in Pakistan, in retaliation for the Kashmir suicide bombing claimed by a Pakistan-based militant group.
Prime Minister Narendra Modi made no compromises on Pakistan's proposal for holding talks, said sources.
Indian warplanes carried out air strikes on Tuesday inside northeast Pakistan's Balakot on what New Delhi called militant camps.
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Varthaman returned to India from Pakistan on Friday to a hero's welcome, almost 60 hours after he was captured following a dogfight when his MiG 21 was shot down.
Ex-servicemen and strategic affairs experts have said the courage and grace Abhinandan showed while in captivity were exemplary.
On the Indian side of the border, turbaned police lined the road as a group of cheering residents waved their national flag and held up a huge garland of flowers to welcome the pilot back. He was in the custody of Pakistan Army since Wednesday when his parachute drifted and fell inside Pakistan-occupied Kashmir.
"The Pakistan army looked after me really well, they are very professional", the pilot said while in uniform, adding that he saw potential for peace.
Pressed on who in Pakistan contacted the terrorist group, the minister said: "The people, the people who are known to them".
Several homes were destroyed by Indian shelling, he said.
The pilot, named as Wing Commander Abhinandan Varthaman, ejected from his plane after it was caught in a "dog fight" two days ago.
Pakistan later aired a video of a man it identified as the Indian pilot.