Li, in his message to Wickramasinghe, said as traditional friendly neighbours, China and Sri Lanka have maintained close contact at various levels and conducted fruitful cooperation.
He said friendship between the two peoples has been deepening.
China attaches great importance to its ties with Sri Lanka and stands ready to advance strategic partnership on the basis of mutual respect and treating each other as equals, so as to bring benefits to both peoples and achieve mutually beneficial and win-win outcomes, said the Chinese Premier.
Xi said relations between China and Sri Lanka withstood the test of time, becoming a paradigm of friendly coexistence and mutually beneficial cooperation between neighbours.
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China and Sri Lanka have been expanding cooperation in various fields, bringing tangible interests to the two peoples, he said.
The messages followed apprehensions that China's influence in Sri Lanka acquired through massive investments during the previous Mahinda Rajapaksa regime may wear thin under the new political dispensation in Colombo.
Chinese Foreign Ministry spokesman Hong Lei allayed such concerns and said "the friendship between China and Sri Lanka runs deep."
"All the previous Sri Lankan administrations uphold a policy of amity with China."
He said: "We hope and believe that the new Sri Lankan government will continue with its support to the friendly cooperation with China and push forward relevant projects.