An air fight between the planes of the two types occurred on the Indian-Pakistani border on February 28. The group calling itself Jaish-e-Mohammed claimed responsibility.
Varthaman had become a national hero after purported footage that went viral showed him being beaten by locals after being shot down before Pakistani soldiers intervened, with social media abuzz with #GivebackAbhinandan and #Abhinandanmyhero hashtags.
Pakistan retaliated by attempting to target Indian military installations on Wednesday.
However, Pakistani sources claimed that the delay was caused due to documentation and other formalities before the handover.
And it was followed by an invitation to the Indian Government by Pakistani leaders to do its part to avoid a conflict.
Pakistan's military said two of its soldiers were killed in an exchange of fire with Indian forces near the Line of Control that separates Kashmir between the rivals.
The situation is already stabilising speedily, whereas India has already said that it does not want tensions, the Indian diplomat said.
On the Pakistani side, officials said a boy died after heavy firing from Indian troops late on Friday night.
Bloodied IAF pilot raises fears of Geneva rules violations
Islamabad has claimed that he is in their custody, while New Delhi said it is ascertaining facts about the missing pilot. The law applies from the time of capture of a military personnel till his/her release or repatriation.
"Confrontation would resolve nothing - neither the tensions between India and Pakistan, nor the Kashmir dispute". Pollsters expect the ruling party to benefit from the nationalistic passion sweeping the country.
This comes after Imran Khan's Government made a decision to release on Friday Wing Commander Abhinandan Varthaman, the Indian pilot who crashed his plane on enemy soil on Wednesday following a dogfight with Pakistani JF-17 on Wednesday.
Earlier in the day, Defence Minister Nirmala Sitharaman and Air Chief Marshal Birender Singh Dhanoa met Wing Commander Varthaman at a hospital here.
Varthaman was flown to Delhi and will undergo debriefing Saturday which will include his physiological as well as a physical check-up in the presence of officials from the military and Intelligence agencies.
SRINAGAR, Indian-controlled Kashmir/ISLAMABAD, March 2 (Xinhua) - Three civilians were killed while three others wounded in cross-border shelling between Indian and Pakistani troops on Line of Control (LoC) dividing the disputed Kashmir region, Indian police said Saturday.
Pakistan touted Abhinandan's return as "as a goodwill gesture aimed at de-escalating rising tensions with India" after weeks of unease that threatened to spiral into war.
"We have to move forward with the self confidence as a courageous - Parakrami - country, and to fulfill our dreams", he said.
Rebel groups have been fighting Indian rule since 1989 and demand that Kashmir be united either under Pakistani rule or as an independent country.