The phone conversation between Jaishankar and Blinken came days after Russian Foreign Minister Sergey Lavrov paid a two-day visit to India.
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."
External Affairs Minister S Jaishankar is in Moscow on a four-day visit to attend the meeting of foreign ministers of the SCO of which both India and China are members.
Prime Minister Narendra Modi and President Vladimir Putin held the 21st India-Russia summit, covering an array of areas with an aim to further enhance the special and privileged strategic partnership between the two countries.
The phone conversation came days after it emerged that Modi will not be travelling to Russia for the annual India-Russia summit this year.
External Affairs Minister S Jaishankar is set to hold separate bilateral talks with his Chinese counterpart Qin Gang and Russia's Sergey Lavrov at a beach resort in Goa on Thursday on the sidelines of a conclave of the Shanghai Cooperation Organisation (SCO) amid rapidly evolving regional security situation.
Notwithstanding its continuing military strikes against Ukraine, Russia has started supplying some components of the second regiment of the S-400 Triumf missile defence system to India, people familiar with the development said on Friday.
In his opening remarks at the talks, Defence Minister Rajnath Singh asserted that India is confident of overcoming the challenges with a strong political will and an inherent capability of its people.
The leaders were accompanied by US Secretary of State Rex Tillerson and Russian Foreign Minister Sergey Lavrov at the bilateral meeting.
The discussions took place on the sidelines of the G20 Foreign Ministers' Meeting.
Foreign ministers of G20 major economies will meet in the national capital on March 1 and 2 to deliberate on pressing global challenges amid escalating confrontation between Russia and the West over the Ukraine conflict that entered the second year this week.
There is a congruence of interests between Ukrainian intelligence and its Western mentors to destroy Wagner and eliminate it from the geopolitical chessboard altogether, argues Ambassador M K Bhadrakumar.
Earlier on Sunday, Macron spoke with Biden and Putin on the Ukraine situation.
External Affairs Minister S Jaishankar met United States Secretary of State Antony Blinken in Phnom Penh on Sunday and discussed bilateral ties, the raging Ukraine conflict, energy issues, G20 and the situation in the Indo-Pacific, days ahead of a possible meeting between Prime Minister Narendra Modi and President Joe Biden.
'China seems more intent on creating a new world order rather than shaping the existing one.' 'India is of course, at this moment in time, aligned with the West-led order because of China's full-spectrum aggressive behaviour towards India.'
Russia on Thursday ruled out playing a role in resolving the Kashmir problem, saying India and Pakistan are capable of settling their outstanding issues themselves.
Russian Foreign Minister Sergey Lavrov on Wednesday warned that a third World War, should it break out, will be "nuclear and devastating", amid spiralling tensions with the West over Moscow's ongoing massive military operation against Ukraine.
Russia on Thursday said it was not bothered at a possible price cap on its crude oil proposed by the West, saying Moscow will negotiate directly with its partners like India and China as the price should be decided between the producers and consumers, and "not someone who just decided to punish someone." Members of the G7 have agreed to impose a price cap on Russian oil in a bid to hit Moscow's ability to finance the war in Ukraine. Countries want to reach an agreement ahead of December 5, when Europe's embargo on Russian crude travelling by sea takes effect.
The foreign ministers of India, Russia and China on Friday held discussions on key regional and international issues, including situation in Iran, North Korean rocket launch and terrorism during a trilateral meet in Moscow.
"The fight against impunity is critical to the larger pursuit of securing peace and justice. The Security Council must send an unambiguous and unequivocal message on this count," External Affairs Minister S Jaishankar told the 15-nation UN Security Council briefing on Ukraine 'Fight against impunity'.
Biden previously stated he did not believe the Russian leader had made up his mind but acknowledged his insights into Putin's thinking were limited.
India would not be seen to be anything but rude with the Pakistanis. In the big picture, who is the bigger adversary right now? Who is the bigger pain in the neck? And who is it that is keeping more than 3,000 km of our borders active, throwing our military posture and deployments into imbalance? asks Shekhar Gupta.
Asked why the United States was targeting Putin's daughters, a senior Biden administration official said the US thought they could be in control of some of their father's assets.
Foreign Secretary Vinay Kwatra on Wednesday refused to speculate on whether the G20 foreign ministers' meeting would be able to come out with a joint communique against the backdrop of widening differences between the West and Russia on the Ukraine conflict.
Emphasising that various issues are on agenda at the G20 under India's leadership.
"We foresee a very intensive engagement during the day that will culminate in the summit," the MEA spokesperson said.
Locked in a fierce battle with the Georgian troops, Russian security forces on Saturday bombarded key military bases in the breakaway South Ossetia province for the second straight day as Moscow claimed that 1,500 people were killed in fighting in the sensitive region.
Prime Minister Narendra Modi on Tuesday underlined the need for not promoting any restrictions on the supply of energy and called for ensuring stability while once again emphasising on resolving the Ukraine conflict through diplomacy.
At a joint media briefing with Lavrov, Jaishankar listed issues such as "factors of instability" such as terrorism and its cross-border manifestation and said it remains a "major concern".
In New Delhi, Singh will continue US administration's ongoing consultations with India, and advance a range of issues in the US-India economic relationship and strategic partnership.
The external affairs minister reiterated India's position on Afghanistan and highlighted its humanitarian support to the war-torn country, including the supply of wheat, medicines, vaccines and clothing.
Russia President Vladimir Putin on Monday described India as a great power, a friendly nation and a time-tested friend and echoed common concerns over terrorism, drug trafficking and organised crime as he held wide-ranging talks with Prime Minister Narendra Modi.
It is going to be a long-term proposition for India -- which has a decades-old relationship with Moscow -- to reorient its foreign policy away from Russia, the US has said, insisting that re-aligning one's approach is not like flipping a light switch.
The President of the Security Council for December said India has taken the side of peace and favours de-escalation through diplomacy and dialogue.
Jaishankar said the world has experienced its consequences in terms of higher costs and shortages of foodgrains and fertilizers and fuel.
During the virtual meet, Biden and Modi will discuss cooperation on a range of issues, including ending the COVID-19 pandemic, countering the climate crisis, strengthening the global economy, and upholding a free, open, rules-based international order to bolster security, democracy, and prosperity in the Indo-Pacific, White House Press Secretary Jen Psaki said.
China's Ambassador to Afghanistan Wang Yu and Acting Minister of Refugee Affairs of the Afghan caretaker government Khalil-ur-Rehman Haqqani attended the handover ceremony at the airport.
Lavrov said a rupee-rouble payment system for trade with India was put into place earlier and it could be strengthened further.
Swaraj on Saturday left for a two-nation three-day visit to Iran and Russia.
The UN Security Council is scheduled to vote on Friday evening on a draft resolution on Russia's military operation in Ukraine as well as the escalating situation in the eastern European country.