NDTV reported that Modi is expected to meet with Chinese President Xi Jinping later in the day and with Pakistan's Prime Minister Nawaz Sharif on Friday, on the sidelines of the summits.
During the meeting with Xi, Modi is expected to discuss bilateral ties and regional issues, including India's concerns over a project to create a $46-billion economic corridor between China and Pakistan passing through Kashmir, the subject of a territorial dispute between India and Pakistan, the channel said.
According to NDTV, Modi's meeting with Sharif is highly anticipated, as the two leaders last met in November 2014, without holding formal talks. Officials have kept silent on the details of their upcoming meeting.
On Monday, Modi embarked on a six-nation tour. The prime minister visited Uzbekistan and Kazakhstan ahead of the summits in Russia, and will travel to Tajikistan, Turkmenistan, and Kyrgyzstan before returning to India.