Atambayev, who served as president from 2011 to 2017, was stripped of his immunity from prosecution in June in the wake of corruption allegations.
Modi was in Kyrgyz capital on Thursday and Friday to attend the SCO Summit, the first multilateral engagement post his re-election.
Modi said that while the two countries share close cultural and economic ties, it is more important to boost relations in the key areas including trade and investment.
For the first time in the history of Officers Training Academy (OTA) in Chennai, five women officers from Kyrgyzstan took part in a three-week cooperation programme of the Indian armed forces.
The plane skidded off the runway, crashed through a perimeter fence and into a residential neighbourhood.
Kyrgyzstan were far from overawed by their Asian Cup debut as they attacked from the outset at Al Ain's sun-drenched Khalifa Bin Zayed Stadium.
The former Soviet republic has made significant progress since joining the Asian Football Confederation in 1994 and the outsiders warned they will be no pushovers in their debut appearance.