Prime Minister Narendra Modi held a telephonic conversation with Russian President Vladimir Putin and discussed issues of bilateral cooperation including Shanghai Cooperation Organisation (SCO) and G20.
Case numbers have been growing since last week in Shanghai, where staff shortages are causing delays in delivery services.
Protests triggered by a deadly apartment fire in the far west of the country last week took place on Sunday.
The protests erupted after 10 people died and nine others were injured in an apartment fire in Urumqi.
Several schools dotted throughout the city have suspended in-person classes as the fear of infection spread grows, according to parents and social media posts.
Shanghai reported no local COVID-19 infections on Monday and Tuesday, the municipal health commission said.
The new deaths took the city's toll to 10 during this outbreak, with more than 300,000 infections since March.
Apart from Shanghai, 14 other provincial-level regions on the mainland saw new local cases of the virus, including 195 in the northeastern province of Jilin.