Leterme contended that there is a need for the United Nations Security Council to adapt to the realities of the 21st century as it requires representation that goes beyond the structures established in the 20th century.
UN Secretary General Antonio Guterres had also made an impassioned plea for the UN to reflect today's world.
The situation in Syria remains a focal point for all the neighbouring nations after Syrian rebels on Sunday entered the capital Damascus, forcing Assad to flee, ending his over two-decade rule in the country.
The 193-member General Assembly adopted the draft resolution, put forward by Ukraine and its supporters, titled 'Principles of the Charter of the United Nations underlying a comprehensive, just and lasting peace in Ukraine'.
Eleven countries voted in favour of the resolution while three countries - India, China and the UAE abstained.
Guterres urged members of the Security Council to press to avert a humanitarian catastrophe and appealed for a humanitarian ceasefire to be declared.
The Organisation of Islamic Cooperation voiced concern over the human rights situation in Kashmir.
The reports quoting unnamed senior administration officials came amid an increasing demand in this regard from US Senators even as the Trump administration called a meeting of the UN Security Council on Iran's ballistic missile tests.
The two leaders reaffirmed that the United States and India 'will take concerted action against all terrorist groups, including groups proscribed by the UNSCR 1267 Sanctions Committee'.
Pakistan's parliament has unanimously passed a resolution, condemning the alleged human rights violations in Kashmir.
Congress MP Shashi Tharoor on Saturday (local time) highlighted how India responded in a measured and calibrated manner towards terror bases and headquarters in Pakistan, following the dastardly Pahalgam terror attack in which 26 people were killed.
The UN Security Council has declared the Ebola outbreak in West Africa a threat to peace and security, with UN chief Ban Ki-moon deciding to deploy an "unprecedented" emergency health mission to combat the outbreak that has impacted the lives of millions.
Numerous members of Hezbollah in Beirut and various areas of Lebanon were injured when their communication devices exploded, according to the Arab media reports. ANI posted on X quoting AP that Iran's ambassador in Lebanon was among those injured in the blasts.
Guterres referred to the Simla Agreement, which is a bilateral agreement and rejects any third-party mediation in the issue.
Hafiz Abdul Salam Bhuttavi, an United Nations-designated terrorist who trained the Lashkar-e-Taiba (LeT) attackers for the 2008 Mumbai terror attack and acted as the outfit's chief on at least two occasions, died in a prison in Pakistan's Punjab province while serving a sentence for terror financing, his aide said on Wednesday.
In the document, the global body expressed concerns over the increasing use of Internet and other information and communications technologies, including social media platforms, for terrorist purposes.
Raising the Kashmir issue at the UN, China has told the General Assembly that the "dispute" should be peacefully and properly addressed in accordance with the UN Charter, Security Council resolutions and the bilateral agreement. China, a close ally of Pakistan, also stressed that no actions should be taken that would unilaterally change the "status quo".
This came after Pakistan People's Party chairman Bilawal Bhutto Zardari on Saturday stated that Pakistan's Prime Minister Shehbaz Sharif had tasked him to lead a delegation to present Pakistan's case on the recent escalations of tensions between the two nations.
There's no rush to recognition from the United States or any country we have spoken with around the world. It will be very dependent on their behaviour and whether they deliver on what the expectations are of the global community, White House Press Secretary Jen Psaki told reporters.
India succeeded in busting the Pakistani narrative on Operation Sindoor, particularly among the Organisation of Islamic Conference (OIC) member nations, where Islamabad sought succour after carrying out terror activities across the border, Shiv Sena leader Shrikant Shinde said.
Shringla said it has definitely pointed out that "loss of human lives is not acceptable".
The 193-member UN General Assembly adopted the draft resolution 'Humanitarian consequences of the aggression against Ukraine' by Ukraine and its western allies, with 140 nations voting in favour, five against and 38 abstentions. India abstained on the resolution.
India, along with 12 other United Nations Security Council members, abstained on a resolution by Russia on the humanitarian crisis in Ukraine.
In his statement while chairing the debate on "Enhancing Maritime Security - A Case for International Cooperation" via video conferencing, Modi highlighted that maritime routes were being misused for terrorism and piracy.
Stepping up pressure on the United Progressive Alliance government on the Sri Lankan Tamils issue, Tamil Nadu on Wednesday demanded that India move a resolution in the UN Security Council for a referendum for separate Tamil Eelam and stop calling Colombo a friendly nation.
The resolution, sponsored among others by Algeria, Bahrain, Iraq, Kuwait, Oman, Qatar, Saudi Arabia, United Arab Emirates and Palestine, demanded an immediate humanitarian ceasefire in Gaza and reiterated its demand that all parties comply with their obligations under international law, "notably with regard to the protection of civilians."
India has abstained on a draft resolution tabled in the United Nations Security Council which condemned Russia's 'illegal referenda' and annexation of four Ukrainian territories and called for an immediate cessation of violence while underlining the need to find pathways for a return to the negotiating table.
A United States official is set to hold talks in the United Arab Emirates, Bahrain and Lebanon this week on sanctions imposed by the United Nations Security Council on Iran over its nuclear programme.
The government will send seven all-party delegations to key partner countries, including members of the United Nations Security Council, later this month to convey India's message of zero tolerance against terrorism following the Pahalgam terror attack and Operation Sindoor.
The US would 'welcome and support' a new UN Security Council resolution if it highlights the world body's resolve, he said.
Taking to Twitter, United Nations Human Right Council said, 'At its 35th special session, the @UN Human Rights Council decided to create a new fact-finding mission to investigate alleged #HumanRightsViolations in the Islamic Republic of #Iran related to the protests that began on 16 September 2022.'
The Dutch envoy said to Tirumurti "You should not have abstained in the GA. Respect the UN Charter."
While the US stayed away, the remaining 14 members voted in favour of the resolution which came after three days of intensive negotiations.
Condemning human rights violations and the excessive use of force by the Yemeni authorities against peaceful protesters in the country's eight-month uprising, the Security Council said all sides should quickly implement a regional plan for an orderly transition of power.
India has reiterated its reluctance to sign the Non-Proliferation Treaty despite United States President Barack Obama's call for all nations to sign the disputed pact.