Xi made the remarks while meeting Indian Prime Minister Narendra Modi on the sidelines of the G20 summit here, reports Xinhua news agency.
He said both sides had seen healthy, stable and speedy development of their relationship and that as neighbours and developing countries they should continue high-level exchanges.
China and India should continue the dialogue at various levels and in various areas and also frequently exchange views on major issues of common interest to enhance understanding and trust, Xi said.
The two countries should seek synergy between their development strategies and discuss the implementation of pragmatic cooperation in large projects in infrastructure construction and production capacity, he said.
He proposed that the two sides strengthen people-to-people exchanges and promised that China would continue to encourage Chinese companies to invest in India.
China and India should respect and care for each other on issues of major concern and handle differences in a constructive way, Xi said.
He said China would deepen cooperation with India to jointly contribute more to world economic growth and better global governance within the G20 framework and support India's efforts to host the upcoming BRICS summit.
