"Well, in a sense that maybe, they should completely be falling apart, that will help", Putin said at the St. Petersburg International Economic Forum, according to a live translation.
On Saturday, Modi will hold his first meeting with newly elected French President Emmanuel Macron in Paris.
"I think it's a great shame because decisions that have been taken should not be changed", he said of the USA withdrawal.
Asked if Russia is happy to see divisions in North Atlantic Treaty Organisation over Trump's push for members to increase defence spending, the Russian leader responded on an acerbic note that Moscow would be happy to see the meltdown of the alliance he described as a Cold War relic.
"As far as I remember, the United States has ratified the agreement, but we (Russia) have not done it yet", he said.
He underlined, "we must leave for our future generations a climate wherein they can breathe clean air and have a healthy life".
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Putin said the 2015 Paris accord was a good document, but that Russian Federation had not yet ratified it because it was waiting for certain technical details to be settled.
Earlier this week, Putin denied the Russian state had directed any hacking operations created to influence the US election - though he did say Russian "patriots" could have been behind the plot on their own accord. When I was in Germany I had said that Paris or no Paris. "And I know the world will minutely scrutinize every word for future direction of our relations". "This does not include nuclear energy but is only solar, wind, biomass and hydro (power)".
Modi recalled his days as chief minister of Gujarat, much before global warming was discussed or Paris agreement was even discussed.
"It is an inter-connected and inter-dependent world".
Earlier, addressing the event, the prime minister said, "India is a responsible nation with regard to climate change.We can milk the nature".
India accounts for 4.1 percent of global emissions and is the third largest carbon-emitting country. "In the spirit of "Sky is the limit", I once again invite you", he told the business leaders.