Deputy Chief of the Russian mission Roman Babushkin said Russia's ties with Pakistan are "independent" in nature and that his government is mindful of respecting sensitivities of other countries.
India has been severely critical of the mega project as the USD 50 billion China Pakistan Economic Corridor (CPEC), which is part of the OBOR, passes through PoK.
Prime Minister Narendra Modi and his Pakistan counterpart Imran Khan did not attend the meeting. Islamabad was represented by the Parliamentary Secretary for Foreign Affairs.
Vice President M Venkaiah Naidu particularly mentioned about cross-border terrorism and called for combating the menace under a collective approach.
The Commerce and Industry Minister also said continued cooperation among the nations would help in ensuring speedy economic recovery from the aftermath of the pandemic.
A statement said that the purpose of the Russian BRICS Chairmanship in 2020 is to contribute to raising living standards and quality of life of our people.
After consultation with the host, the Indian side left the meeting in protest at that juncture.
India on Friday said that it was 'deeply concerned' about the situation in the Persian Gulf and called upon the countries in the region to resolve their differences by dialogue.
Singh is in Moscow on a three-day visit to Russia to attend a crucial meeting of the Shanghai Cooperation Organisation (SCO) defence ministers.
India concerned at Afghan security situation, will continue to support people, government: Rajnath Singh
India has been keenly following the evolving political situation after the US signed a peace deal with the Taliban in February.
Rajnath Singh talked about threat of terrorism and extremism and pitched for having institutional capacity to deal with the challenges.
It will be the first high-level meeting between the two sides after the border row escalated in eastern Ladakh in early May.
Defence Minister Rajnath Singh left for Moscow on Wednesday on a three-day visit to attend a meeting of SCO defence ministers.
Vikas Swarup said the renewed momentum in building regional synergies by the bloc is reflected in addressing common security challenges and building long-term economic and energy linkages.
Chinese Defence Minister Gen Wei Fenghe and Pakistan's Pervez Khattak are expected to attend the SCO meeting.