Modi conveyed a "clear message" to the Chinese leadership that India is willing to expand relations with China in all aspects and both countries need to be ambitious about it, they said.
"But at the same time if we want the full potential of the relationship is to be realised we must address outstanding issues. If do not do that it will be a limiting factor. The outstanding issues were raised by him in a pleasant but forthright manner," the source said.
While Modi took up for the first time the issue of clarification of the Line of Actual Control (LAC), the 3,400 km long disputed boundary, during Xi's visit to India last year, this time he has gone beyond that and referred to other issues as well, they said.
"That provides for his approach that we are prepared to deal with China in different areas and unless we address the outstanding issues, there is a limiting factor," they said.
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Modi also spoke about the urgent need for clarification on the LAC where the aggressive patrolling has resulted in tense stand offs.
The sources said India has been stating since 1993 that it would accept the concept of LAC without prejudice to its positions on the boundary.
Modi has raised the issue even though the Chinese side was reportedly not keen about it.
A line on the ground is useful for the management of boundary and trans-border contacts, the sources said, adding that it will help stop frequent transgressions.
While the Prime Minister has not raised the issue of close ties between China and Pakistan which is a bilateral relationship, he raised the issues relating to the POK including the China-Economic Corridor which goes through it.