During his 40-minute-long meeting with Li, Singh, the first home minister to visit China in 10 years, called for effective border management with emphasis on maintaining peace and tranquillity along the borders.
"I have expressed concern over the incursions," he told reporters after his talks with Li and other Chinese officials.
The Chinese Premier too said the incursions should stop, Singh stated while replying to a question.
On the issue of different perceptions on border, he said "while we seek an early settlement there is need to ensure peace and tranquillity and effective border management until we arrive at a solution."
On the joint mechanisms to resolve the border dispute, he said their functioning should be made fruitful.
The mechanism to resolve the border dispute is headed by National Security Adviser Ajit Doval and his Chinese counterpart and State Councillor Yang Jiechi.
India shares a 3,488-kilometre border with China, running along the states of Jammu and Kashmir, Himachal Pradesh, Uttarakhand, Sikkim and Arunachal Pradesh.
Singh said during his talks with Li issues related to economic cooperation also figured.
About concerns related to Chinese firms over security related issues, he said his ministry has cleared 20 Chinese companies including mobile firms to invest and operate in India.
Singh would travel to Shanghai on Saturday by bullet train to get a feel of the Chinese technology.
Singh said he also travelled by bullet trains in Japan during his visit there.
