Lavrov, who addressed the UN General Assembly shortly before External Affairs Minister S Jaishankar's speech at the high-level General Debate, said India and Russia share a "particularly privileged strategic partnership".
Air India has deployed a B787 Dreamliner aircraft for the Delhi-Moscow-Delhi sector and offered attractive promotional fares.
The capital regions of India and Russia agreed on Thursday to cooperate in infrastructural development and advanced medical services and enhance the youth exchanges between them.
"When the A320 plane, which did not have any passengers as it was heading to Moscow to bring back stranded Indians under Vande Bharat Mission, had reached Uzbekistan's airspace, our team on ground realised that one of the pilots had tested COVID-positive," senior Air India officials said.
Air India is planning to tweak its daily service to Australia, to cut losses.