Modi added that the world agrees with him when he says any attack on the country's pilgrimage site is not acceptable.
Trump abruptly rejected the text of the consensus statement and bitterly insulted Canadian PM Trudeau.
He then went on to say that, however, he won't get a Nobel Peace Prize for any of his efforts.
The Quad Leaders' Summit this year was earlier supposed to be held in India, but US President Joe Biden was keen to hold the event in his hometown.
Ukraine has rejected Putin's demand and termed it a 'complete sham' and 'offensive to common sense'.
The US is looking very carefully at what Modi did when he was in Moscow, a senior State Department official has told lawmakers concerned over the growing India-Russia ties.
In the conversation, President Trump extended an invitation to Modi to attend the next G-7 summit to be held in the US, the Ministry of External Affairs said. On Saturday, Trump pitched for expansion of the G7 comprising the world's most advanced economies by including India and three other countries.
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.
As Donald Trump registered a historic comeback in the US presidential election, many former Indian diplomats on Wednesday concurred that the India-US ties will "continue to grow" from strength to strength, even as some of them cautioned that Trump is "highly unpredictable" and New Delhi will have to "wait and watch" to see what position he adopts going forward.
The development comes days after External Affairs Minister S Jaishankar said on Sunday that India is looking at resuming visa services for Canadians "very soon" if it sees progress in the safety of its diplomats in Canada.
Chess960, created by former world champion Bobby Fischer in 1996, has been gaining in popularity after an invitational tournament played last year at the Weissenhaus Luxury Resort, which hosted the G7 Foreign Minister summit in 2022.
Modi and Albanese also reiterated their shared ambition for an early conclusion of the ambitious Comprehensive Economic Cooperation Agreement (CECA) that is expected to significantly expand bilateral trade ties.
The leaders said they stand for adherence to international law, peaceful resolution of disputes and respect for principles of the UN Charter, including territorial integrity and sovereignty of all states.
India, the official said, has a long history of relations with Russia. They have interests with Russia that go back many, many decades.
Canada's former national security advisor Jody Thomas described the changing relationship between Ottawa and New Delhi as an "evolution" and said Canada has "made advancements in that relationship."
The US also remains in regular contact with the Canadian government, White House press secretary Karine Jean-Pierre said on Friday.
Here's a look at some of the more interesting sights at the G7 2015 summit.
With Lok Sabha elections months away, the visits are vital politically as these would showcase Modi's standing as a world leader to the home electorate.
Upon his return, the PM is slated to get a gala welcome from the Bharatiya Janata Party.
Trudeau said that he had spoken to the Liberal Party President to start looking for a new prime ministerial candidate.
This is for the first time in recent history that the leaders of the two largest democracies would be addressing a joint rally anywhere in the world.
'The central government can stop further destruction... if they have the political will to do so.'
External Affairs Minister S Jaishankar is scheduled to meet United States Secretary of State Antony Blinken in Washington, DC on Thursday, amid the diplomatic rumpus between India and Canada stirred over the killing of a Khalistani separatist.
It says the move builds on action taken last year to halt the installation of new equipment on the government estate and will provide "reassurance" that departments are removing surveillance equipment from sensitive sites.
Two members of the small delegation accompanying External Affairs Minister S Jaishankar to the UK have tested positive for Covid-19, forcing him to rework his official schedule in London.
Dialogue and diplomacy is the only way forward for peaceful resolution of the Ukraine conflict, National Security Advisor Ajit Doval said at a conference in Jeddah on the crisis while underlining the need for upholding sovereignty and territorial integrity by all states without 'exception'.
Prime Minister Narendra Modi spoke with Russian President Vladimir Putin on Friday during which he reiterated India's long-standing position on the Ukraine situation, favouring dialogue and diplomacy.
UK Prime Minister Boris Johnson and Opposition Leader Keir Starmer clashed in the House of Commons over a controversial by-election leaflet, which had been branded "divisive" and "anti-India" by Indian diaspora groups in Britain.
In his first visit to the valley after becoming the prime minister for the third consecutive term, Modi emphasised the importance of enabling the people of Jammu and Kashmir to elect their representatives for the assembly.
As a leader, he was ambitious, not for himself but for India and its people. His was not the short-term election cycle calculation of individual political gain. His was a practical vision of how to better the lives of his fellow citizens, asserts Ambassador Shivshankar Menon, who served as foreign secretary and national security advisor when Dr Singh was prime minister.
Australian Prime Minister Anthony Albanese said on Tuesday that his Indian counterpart Narendra Modi gets a 'rock star reception' wherever he goes, as he welcomed his 'dear friend' at an event in Sydney and compared him to American singer Bruce Springsteen.
Experts say Canada's allegations regarding the Indian government's involvement in the fatal shooting of Khalistan Tiger Force chief Hardeep Singh Nijjar in Canada 'could be most significant test of strength of US-India partnership since early 2000s'.
Gold fell to, and held near-term support at $914.00 in overnight trading in Asia before turning higher in the morning hours, ahead of the New York opening. New York spot trading opened with gold at $ 926, up $ 1.20 as players watched the dollar dropping under 71.60 on the index, and crude oil rise to just above $ 111 per barrel. Silver was down 6 cents on the open, quoted at $17.68 but the noble metals took a harder fall. Platinum lost $48 at $1960.00 & palladium dropped $13.
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.
Joe Biden's B3W proposal aims to bring democracies together. India should come up with its own plans to contribute to the initiative, states Rahul Mishra.
Britain's Queen Elizabeth II is expected to host US President Joe Biden at Buckingham Palace ahead of the G7 summit scheduled between June 11 and 13.
With consensus eluding on the paragraph relating to the Ukraine conflict, India on Friday circulated a draft summit declaration among the member countries without the paragraph on the geopolitical issue in an attempt to hammer out a positive outcome.
'To get a 100 per cent consensus document without any reservation, any bracket, any chair summary is unprecedented in the history of multilateral forums.'
The broader NSE Nifty too ended 98.30 points, or 0.89 per cent, down at 10,918.70.
Trump reiterated his offer to help the two South-Asian neighbours only if both of them want.