This is expected to ease the pressure on the evacuation process in Kabul and make repatriation smoother.
Live updates: crisis in Afghanistan
On Monday, 146 Indian citizens who had been relocated to Doha from Kabul earlier were taken home, while another 78 were evacuated from the Afghan capital by an IAF C-130.
However, another flight could not take off due to a shooting at the airport, in which an Afghan security guard associated with Western forces was killed, which again launched the airport into chaos.
On Tuesday, another flight left Kabul with several Afghan Hindus and Sikhs.
Official sources reiterated that the priority was to evacuate Indian citizens.
Prime Minister Narendra Modi spoke on Monday about the situation in Afghanistan with German Chancellor Angela Merkel by phone.
They both stressed the importance of maintaining peace and security and agreed that the priority was to repatriate stranded people.
They also agreed that the security situation in Afghanistan had implications for the region and the world.
Foreign Minister S Jaishankar had held talks on Saturday with his German counterpart Heiko Maas on coordinating evacuation processes.
He had spoken with Jean Yves Le Drian, the French foreign minister, when he was in New York last week.
Earlier in the day, the German army had confirmed that US and German forces were involved in the airport crash.
According to a CNN report, the clash began when a sniper in front of the airport fired on Afghan guards assisting U.S. forces. Three Afghan guards are said to have been injured.