He said the issues like Taiwan and Tibet are concerned with sovereignty, territorial integrity and national security, which are vital principled issues related to China's key interest.
China appreciates Australia's adherence to the one China principle and respect for China's sovereignty and territorial integrity, Xi noted.
He also said both sides should enhance communication and coordination on multilateral and global issues, so as to make more contribution to world peace and development.
Kevin Rudd, on his part, said the Australia-China relations are of vital importance to Australia, noting that Xi's current visit would push the development of bilateral relationship effectively.