The telephonic talk between Modi and Xi came a day after Modi congratulated Xi on Chinese social media.
According to official sources, the primary objective of Wei's visit is to deliberate with Indian defence establishment on implementation of decisions taken by Modi and Xi in their informal summit in Wuhan in April.
Lieutenant General Wei Fenghe's, China's new defence minister's, first guest of honour could be his Indian counterpart Nirmala Sitharaman.
President Xi said that the Chinese side is ready to work with the Indian side to carry forward the fresh impetus of bilateral relations.
India says it cannot accept a project that ignores its core concerns on sovereignty and territorial integrity.
The summit is being seen as an effort by India and China to rebuild trust and improve ties that were hit by the 73-day-long Doklam standoff last year among other contentious issues.
This was the first round of talks for Wang after he succeeded State Councillor Yang Jiechi earlier this year.
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'China's vulnerability on the global stage has given an opening to India to push for its own interests,' notes Harsh V Pant.
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'India needs to be cautious that its differences with Pakistan do not obstruct SCO's functioning,' says Sana Hashmi.
The summit is being seen as an effort by India and China to rebuild trust and improve ties that were hit by the 73-day-long Doklam standoff last year.
The meeting, which comes after the Doklam standoff, is aimed at a working a new paradigm for the bilateral relations for the next 15 years.
He called for delineation of the 3,488-km Line of Actual Control (LAC) which China has refused earlier.
'We must compartmentalise issues, ensuring that one disagreement does not sour everything,' advises Ambassador Kishan S Rana.
An MoU on sharing hydrological information of the Brahmaputra River by China to India and another pact on amendment of the protocol on phytosanitary requirements for exporting rice from India to China to include non-Basmati rice were signed after the Modi-Xi talks in the eastern Chinese port city.
'Significantly, Foreign Secretary Gokhale was received at very high level in Beijing.' 'It only shows China's keenness to move forward and put the relationship on a 'win-win' footing,' says Ambassador M K Bhadrakumar.
'Problems will keep recurring unless China vows to resolve all outstanding issues between the two sides,' says Sana Hashmi.
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'Russia's interest lies in boosting Pakistan's grit and capacity to withstand US pressure,' says Ambassador M K Bhadrakumar.
The Wuhan meetings signify an incremental shift in China's position on India as well as each country buying time for the next phase of bilateral relations, says Srikanth Kondapalli.
'From Doklam to Wuhan and the return of the India-China relationship to its previous equilibrium is indeed a major contribution of President Xi and PM Modi. Without any doubt they deserve the kudos for their sagacity and their wisdom,' says Ambassador Gautam Bambawale, India's envoy to China during the Wuhan summit.
China for the first time has divulged the deployment of a nuclear submarine for anti-piracy operations in the Gulf of Aden, a move defence experts say could cause unease among neighbours, including India.
The system has passed preliminary examination by national railway test authorities and has been installed on a new bullet train produced by CSR Qingdao Sifang Co Ltd in Shandong Province.
Modi was expected to arrive in Wuhan in the evening on April 26 and join Xi in the informal summit at a picturesque location the next day.
'India stands to gain immensely by forging a developmental partnership with China.' 'While through sustained strategic communication there is scope to steadily expand the commonality of interests between the two countries.' 'This is also a practical way to ensure that differences do not get over-magnified and become disputes,' says Ambassador M K Bhadrakumar.
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'While economic ties are making incremental progress, it is in the security and strategic domains that the India-Japan synergy is more compelling,' says Dr Rajaram Panda.
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There are still a few lingering issues towards the progress of India-China bilateral relations, the approach for dealing with each other seems to be quite different. With Modi-Xi bonhomie strengthening, it seems that India and China are ready to recalibrate their approaches towards each other, says Sana Hashmi.
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The NHAI says non-availability of funds from private developers and financial institutions is also responsible for major delays.