"The border question is a complex issue left from history and solving the issue won't be easy. However, as long as we keep up friendly consultations, we can eventually arrive at a fair reasonable and mutually acceptable settlement," Mr Jinping told Press Trust of India in an interview.
"Pending the final settlement of the boundary question the two sides should work together and maintain peace and tranquility in the border areas and prevent the border question from affecting the overall development of bilateral relations," he added.
59-year-old Xi Jinping, who took over as the head of Communist Party, President and military chief, completing a rare triad of power, sent clear signals of boosting bilateral relations with India and expressed his keenness to meet Prime Minister Manmohan Singh next week on the sidelines of the BRICS (Brazil, Russia, India, China, South Africa) in his first contact with top Indian leadership after his inauguration.
The first leader born after China's independence in 1949, Mr Jinping also spoke of the need for India and China with a combined population of 2.5 billion to cooperate to safeguard the "legitimate rights and interests" of developing countries.
"We should accommodate each other's core concerns and properly handle problems and differences existing between the two countries," he said in fifth proposal.
He said China sees its ties with India as "one of the most important bilateral relationships".
The new President was replying to a question on what policy the new Chinese leadership will pursue towards India and whether there would be any change in its position on the border issue.
India asserts that the border dispute covered about 4,000 km, while China claims that it confined to about 2,000 km to the area of Arunachal Pradesh, which it refers as Southern Tibet.
Unveiling his five proposals, Mr Jinping said that first China and India should maintain strategic communication and keep the bilateral relations on the "right track".
"Second, we should harness each other's comparative strengths and expand win-win cooperation in infrastructure, mutual investment and other areas," he said.
The Chinese President also said that India and China should strengthen cultural ties and constantly increase the mutually expanding friendship between the two countries.
Xi, who was speaking to select editors from BRICS countries in his first interaction with international media, spoke of the traditional friendship between India and China, describing them as two largest developing countries of the world with a combined population of over 2.5 billion.
"We jointly follow the path of peaceful development which involves cooperation and common interest of the two countries.
It is also doing great service to Asia and the world," he said.
He recalled his "very good" meeting with the visiting President Pratibha Patil in 2010 when both agreed that there was need to fully tap the potential of China-India cooperation and to raise the relationship to a higher level.
"In recent years with the concerted efforts of the two sides, China-India relations have made an important headway.
China sees its relations with India as one of the most important bilateral relationships and is committed to pushing forward the strategic partnership between them," he said.
At present, the Chinese leader said India and China were pursuing development at faster pace and this has offered many opportunities for the two countries to boost mutually beneficial cooperation.
"We should seize the opportunities and take solid steps to bolster cooperation in all fields and take China-India relations to a new height," he said.