The advisory comes hours after Russia carried out strikes against multiple Ukrainian cities, including Kyiv.
The talks took place on the sidelines of the G-20 foreign ministers' meeting in the Indonesian city of Bali.
US President Joe Biden, who arrived in a surprise visit to Kyiv on Monday, reaffirmed America's unwavering commitment to Ukraine's democracy, sovereignty, and territorial integrity.
The talks between the two leaders covered the entire gamut of bilateral ties as well as key regional and global issues, including the Ukraine conflict.
In a tweet, Zelenskyy said he counted on New Delhi's support for the implementation of his "peace formula", which he had proposed during a virtual address at the recent G20 summit in Bali.
The people will view it from their viewpoint, their immediate interest, historical experiences, their insecurities, he said.
In his meeting with Putin, Modi said "today's era is not of war" and nudged him to end the conflict.
"No one has ever accused India of supporting what is going on in Ukraine. What India seems to be doing is trying to operate within the policy outlined by Nehru 65 years back," said a source.
India and the US have collaborated through the past one month on launching a powerful satellite; are commencing joint production of GE Aerospace's F414 jet engines in India; India is participating in a massive three week-long military exercise in the Western Pacific, observes Ambassador M K Bhadrakumar.
India on Saturday pulled off a big diplomatic win after the G20 summit adopted a consensus declaration overcoming major differences on the Russia-Ukraine war.
Top commanders of the Indian Army deliberated on the Russia-Ukraine war and Israel-Hamas conflict at a five-day conclave to draw relevant lessons besides focusing on ways to make the force 'future ready' in line with with emerging contours of threats and challenges.
India is keen to strengthen its partnership with Russia on Arctic subjects and there is immense scope for cooperation in the field of energy as well, Prime Minister Narendra Modi said.
The Russian and Indian officials would be soon meeting again to discuss the final delivery schedule of the remaining two missile squadrons, sources said.
'Trump is likely being purposefully vague, hoping that this lack of clarity will pressure India, fearing the worst, to agree to scale back its imports of Russian oil.'
In his opening remarks at the G20 Leaders' Summit at the Bharat Mandapam in New Delhi, Modi said the 21st century is a time of giving new direction to the world.
India is a great power that determines its national interests and chooses its partners, Russian Foreign Minister Sergey Lavrov has said, describing as "completely unjustified" the "enormous pressure" on New Delhi due to its energy cooperation with Moscow.
Russia on Wednesday said it is hoping for quick resolution of the issue relating to India's call for return of Indians recruited into the Russian Army as support staff and asserted their recruitment was purely a commercial matter.
Russian forces have made minimal progress on land, sea or air in recent days and they continue to suffer heavy losses, the UK's ministry of defence said on Thursday.
The team of diplomats, including joint secretaries Eenam Gambhir and K Nagraj Naidu, held 300 bilateral meetings and circulated 15 drafts with their counterparts on the contentious Ukraine conflict to drive home a consensus that was clinched on the first day of the G20 Leaders Summit itself.
'While the President has been critical of India, he has gone out of his way to compliment PM Modi. They have an incredible relationship.'
'And this will persist given the two-and-a-half-front threat we face.'
The silver lining for India's presidency is likely to be the support by almost all G20 countries to its proposal to include the African Union as a permanent member of the bloc that has emerged as perhaps the most influential multilateral forum after the United Nations.
On the Ukraine conflict, Modi said, "Some people say that we are neutral. But we are not neutral. We are on the side of peace." "All countries should respect international law and the sovereignty of countries," he said.
Jaishankar said the US ambassador will say what he feels is the thinking or position of his government.
Of the 18,000 medical students who returned to India last year, 5,000-7,000 have either shifted to universities in Georgia, Russia, Serbia, Uzbekistan, Kyrgyzstan, Kazakhstan and Moldova or are in the process of seeking a transfer to those.
'With profound sorrow we confirm that an Indian student lost his life in shelling in Kharkiv this morning,' the MEA tweeted.
'If there is a military standoff eyeball to eyeball on the western border, the Chinese could create problems by making movements in the north, in our northeast, which could involve us tying down some forces there so that could stretch our military actions.'
China has expressed its support for Russia's initiative to revive the Russia-India-China (RIC) troika, emphasizing its importance for regional and global security and stability.
US President Donald Trump and Indian Prime Minister Narendra Modi met in Washington D.C. to discuss a range of issues including trade, defense, and energy. The two leaders announced plans to finalize "wonderful trade deals" for both countries, and Trump emphasized the need for India to purchase US oil and gas. Modi congratulated Trump on his second term and highlighted the importance of working together to further strengthen the India-US relationship. The meeting also addressed the ongoing conflict in Ukraine, with Modi reiterating India's commitment to peace.
Trump has a major decision to take in coming days -- specifically, how to rescue Israel from the attritional war that lies ahead, points out Ambassador M K Bhadrakumar.
The Indian Army's broader reorganisation is inevitable as India's military doctrine adapts to the demands of the modern battlefield.
'There is a solution only for the organisation of humanitarian corridors,' Advisor to the Head of the President's Office of Ukraine Mykhailo Podoliak said on Twitter.
'He may respect others, but he is unlikely to admire them'
Modi also invoked Mahatma Gandhi and Buddha to urge the delegates to draw inspiration from India's civilisational ethos and "focus not on what divides us, but on what unites us."
Leaders at the G20 summit on Wednesday called for an immediate end to the Ukraine conflict, holding that "today's era must not be of war", a formulation that echoed Prime Minister Narendra Modi's message to Russian President Vladimir Putin in September.
'India's farmers will be unable to compete with the US, given the subsidies that the latter provides its farmers.'
'Trump's sons, and the son of Trump's Mideast envoy Steven Witkoff, are in the crypto business and recently signed deals with Pakistan's crypto council.' 'It may not be coincidental that not long before the Trump-Munir meeting, the head of Pakistan's crypto council met with Trump's White House crypto policy czar.'
Wang said that the situation in Ukraine has changed rapidly and that China laments the outbreak of the conflict between Ukraine and Russia and is 'extremely concerned' with the harm to civilians, China's state-run Xinhua news agency reported.
The government has received requests for facilitation of early discharge of some Indian nationals purportedly recruited into the Russian armed forces in unclear circumstances, he said.
Swiss foreign minister Ignazio Cassis said Russia would be asked to join the peace plan discussions at some point in time but to bring Russia on the table would require mediation by some countries.