The Ukrainian airspace has been closed for civil aircraft operations since the morning of February 24 and therefore, the evacuation flights are operating out of Bucharest and Budapest.
Around 20,000 Indians, mainly students, are currently stranded in Ukraine, the officials said.
Before the closure of the Ukrainian airspace, Air India had conducted one flight to the Ukrainian capital Kyiv on February 22 that brought 240 people back to India.
It had planned to operate two more flights on February 24 and February 26 but it could not do so as the Russian offensive began on February 24 and the Ukrainian airspace was consequently shut down.
Air India said on Twitter on Friday night that it will be operating flights on B787 aircraft from Delhi and Mumbai to Bucharest and Budapest on Saturday as special government charter flights to fly back stranded Indian citizens.