It will be the first high-level meeting between the two sides after the border row escalated in eastern Ladakh in early May.
Modi is also expected to hold bilateral meetings on the sidelines of the summit, including with Putin, and Uzbek President Shavkat Mirziyoyev among other leaders.
Besides attending the SCO defence ministers' meeting, Singh will hold talks with his Russian counterpart Sergey Shoigu and several other top military officials with an aim to expedite the implementation of several defence procurement programmes, they said.
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.
Government sources said the Pakistani action was "blatant violation" of the SCO charter and against all its established norms of safeguarding the sovereignty and territorial integrity of SCO member states.
It is the first time that Modi and Xi came face-to-face since the Chinese People's Liberation Army occupied Indian territory in Ladakh in April 2020.
On the last leg of his eight-day six-nation tour, Prime Minister Narendra Modi on Monday made a strong pitch for taking India's ties with Tajikistan to newer heights in diverse areas.
The two leaders 'shared perspectives on situation in Afghanistan, including the role played by India towards an inclusive peace process', he said.
It is important the SCO focus strongly on economic development and regional integration that leads to greater benefits for the least developed regions of member-countries, writes Sana Hashmi.
After two decades, the SCO appears to be at a cross-roads with the US withdrawal from Afghanistan, asserts Srikanth Kondapalli, the leading China expert.
External Affairs Minister S Jaishankar on Wednesday held wide-ranging talks with his Russian counterpart Sergey Lavrov focusing on the Ukraine conflict, bilateral ties and issues relating to the G20 foreign ministers' meeting.
India, the official said, has a long history of relations with Russia. They have interests with Russia that go back many, many decades.
Pakistan high commission sources said it has been an usual practice to invite the Kashmiri separatist leaders on such occasions.
The two leaders, who will be present in Ufa to attend the SCO summit, will be meeting on the sidelines of it.
India, the world's third biggest oil consumer, meets more than 80 per cent of its oil needs through imports.
His trip to Moscow comes days after Defence Minister Rajnath Singh visited the Russian capital to attend a meeting of the defence ministers of the eight-nation SCO of which both India and China are members.
The Indian and Chinese troops are locked in an over three-year confrontation in certain friction points in eastern Ladakh even as the two sides completed disengagement from several areas following extensive diplomatic and military talks.
Prime Minister Narendra Modi spoke with Ukrainian President Volodymyr Zelenskyy on Tuesday and asserted that there can be no military solution to the Ukraine conflict, while also underlining that endangerment of nuclear facilities could have catastrophic consequences.
Russian President Vladimir Putin and Prime Minister Narendra Modi will meet on the sidelines of the SCO summit in Uzbekistan this week and discuss issues of strategic stability, the situation in the Asia Pacific region and bilateral cooperation within the UN and G20, the Kremlin has announced.
India and Pakistan should move from confrontation to cooperation, Pakistan's High Commissioner Abdul Basit on Tuesday said while adding that Prime Minister Nawaz Sharif is keen to normalise bilateral relations.
New Delhi has reached out to Moscow while waiting for a new president in Washington. New Delhi knows well that in international relations, there are no permanent friends or foes, only permanent national interests, points out Dr Rup Narayan Das.
'Lingering border disputes and fierce geostrategic competition in South Asia between China and India are likely to temper any cooperation Beijing might hope to achieve with New Delhi in the SCO,' says P K Vasudeva.
Four major political takeaways from Narendra Modi's much-anticipated trip to China
India has been raising with China the plight of approximately 22,000 Indian students enrolled in Chinese universities who are unable to go back for physical classes. However, the neighbouring country has till date refused to let them enter.
External affairs ministry spokesperson Vikas Swarup also asserted that India's participation in the NSG would have further strengthened nuclear non-proliferation regime and made global nuclear commerce more secure.
In the document, Russia underlined that it will build on a privileged strategic partnership with India with a view to enhance and expand cooperation in all areas on a mutually beneficial basis.
PCB chief Najam Sethi said that they had sent a proposal to ACC that India can play their matches at a neutral venue.
However, there is no official word on whether there will be any interaction between Modi and Pakistan President Mamnoon Hussain, who is scheduled to attend the meeting in China.
It is also learnt that Khan congratulated Modi on his election victory during their first face-to-face interaction.
Modi enquired about Sharif, his mother and family.
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.
The two leaders shook hands and exchanged pleasantries at the end of the media briefing which was addressed by Chinese President Xi Jinping. China is the host and chair of the SCO.
India invited leaders of the BIMSTEC countries as well as Kyrgyz President Jeenbekov, the current chair of the Shanghai Cooperation Organisation, and Mauritius PM Jugnauth for the Modi's swearing-in.
The UK voted to leave the European Union after 43 years.
Pakistan has a strong case to gain NSG membership on merit and non-discriminatory basis, Aziz said in a statement.
After the outbreak of the pandemic in the country he has ruled with an iron hand in recent years, Xi Jinping, general secretary of the Communist party of China, has mostly stayed put in Beijing.
There was no visible forward movement in disengagement of troops in the remaining friction points as the Chinese side did not show flexibility in their approach on it at the 11th round of military talks.
"The two former defence ministers had some clarifications and doubts on the situation which were clarified by the CDS and the Army chief," sources said.
He said countries should work for promoting open and inclusive cooperation for win-win outcomes.
On being asked about the Swaraj-Qureshi meeting, the MEA sources said the two leaders only exchanged pleasantries.