The Pakistani Foreign Minister said that they agreed on the need to promote greater people-to-people contact through greater collaboration across a diversity of fields, including education.
Lavrov lauded India's vaccine manufacturing capacity and said Russia has close cooperation with the country on vaccines to combat the coronavirus pandemic.
On the contentious issue of the acquisition of S-400 missile systems from Russia, Jaishankar said there was no specific discussion on the issue.
In their talks, External Affairs Minister S Jaishankar and his Russian counterpart Sergey Lavrov also discussed the proposed free trade pact between India and the Eurasian Economic Union.
The India and Russia annual summit was postponed last year because of the COVID-19 pandemic.
Shringla, who arrived in Moscow on his first foreign visit this year, called on Russian Foreign Minister Sergey Lavrov and conveyed greetings of External Affairs Minister S Jaishankar.
Russian Foreign Minister Sergey Lavrov said the West is seeking to reinstate the unipolar world order that would include all states but for Russia and China with which it would deal later.
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.
Lavrov made the remarks in response to Monday's unsealing of two indictments by a US federal court two aides of US President Donald Trump.
A month after Donald Trump's election victory, President Barack Obama had seized the Cold War-era recreational estates and expelled 35 Russian officials.