"There are some historical issues between India and China including the boundary question. The consensus of the two countries and leaders is that we have more overlapping interests than differences and we have more cooperation than competition," Chinese Vice Foreign Minister Song Tao said.
Besides being ancient civilisations and emerging markets, both the countries "have the wisdom and resourcefulness to properly manage our differences", he said briefing the media about Li's three-day visit to New Delhi and Mumbai starting from May 19.
"We both are working very hard to find a solution to this (boundary issue at an early date. I think through the concerted efforts of the two sides we have made positive progress in addressing the issue," he said.
The new Premier who has chosen India to be first stop of his maiden overseas visit would also go to Pakistan, Switzerland and Germany after that.
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The fact that Premier Li has chosen India as one of the countries on his first overseas trip shows the importance the new government attaches to China-India relations, Song said.
He will make a speech on India-China relations and also attend China-India business summit and other important activities, Song said.
The two countries also will sign several agreements to further cooperation in various areas, he said without giving any details.
"I believe with concerted efforts from both sides Li's visit will produce fruitful results," he said.