At present, Wg Cdr Varthaman is serving at an IAF base in Rajasthan.
His health condition is being monitored by a group of doctors at the Army's Research and Referral hospital, the officials said.
A medical review board in the near future will assess the medical fitness of the Wing Commander and decide when he can resume his operations as a fighter pilot.
The IAF received a total of 13 awards including five Yudh Seva Medals and seven Vayu Sena Medal.
Pakistani officials handed over Varthaman to Indian officials, including from the IAF, at the Attari-Wagah Border.
Shah also said that the return of pilot Abhinandan was a diplomatic victory.
Mita said she was not worried about the criticism she faced on social media over her anti-war stand.
Abhinandan will undergo debriefing which will include his physiological as well as a physical check-up in the presence of officials from the military and Intelligence agencies.
A MiG-21 Bison of the IAF, piloted by Wing Commander Abhinandan Varthaman was downed during a dogfight between India and Pakistan sides on February 27 after the Balakot airstrike
The IAF 'evidence' shows that the S-2000 laser-guided munition hit the intended targets causing significant 'internal damage', sources said.
Modi hit out at the UPA government for allegedly 'blocking' surgical strikes post 26/11 Mumbai attacks in 2008.