He thanked Prime Minister Manmohan Singh for the invitation.
The 70-year-old reality TV star has strongly refuted reports of any relationship with Putin and has said he has never met the Russian president.
Vladimir Putin is MIA (missing in action) and the Internet is obsessing over it!
Sources had earlier said Modi and Putin would also deliberate on impact of US sanctions on import of crude oil from Iran.
In his opening remarks at the virtual summit of Leaders of G20 countries, Modi made it clear that terrorism was "unacceptable" to everyone and the death of civilians, anywhere, was condemnable.
Putin said Russian air strikes allowed Syrian President Bashar al-Assad's military to turn the tide of war and helped create conditions for peace talks.
Black boxes from the jet that crashed and killed Yevgeny Prigozhin and nine other people have also been recovered by Russian investigators.
Uttam Ghosh offers his take on Russia's terrifying nuclear threats.
Had it not been for the slow but sure emergence of China as a threat to the western order, would India have been accepted as a near-equal partner by individual western nations, jointly and severally, questions N Sathiya Moorthy.
Latest glimpses form the Ukrainian warzone.
In his meeting with Putin, Modi said "today's era is not of war" and nudged him to end the conflict.
Dominic Xavier offers his take on Russia's attack on Ukraine.
In the Russian president's eyes, it sends a message of defiance to the world and his own people which fits his favoured storyline: Russia is succeeding despite Western efforts to hold it back.
The two leaders said they would work to "bring them (bilateral ties) to the framework of constructive cooperation.
When Russian President Vladimir Putin and his wife Lyudmila Putina announced on national television that they were divorcing after 30 years together, many Russians thought it was an elaborately staged hoax.
Ukrainians in Pokrovsk, Donetsk region, board a train to Lviv during an evacuation from the war-affected areas of eastern Ukraine.