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Three quarters of the funding will come from China Development Bank.
China recorded a trade surplus of 376.2 billion yuan in the month.
The Indian economy is experiencing a fragile and uneven recovery.
The Nikkei/Markit Services Purchasing Managers' Index eased to 51.3 in September from August's 51.8.
Modi has sought to drum up the inward investment he needs to bring to life the appeal to "Make in India".
The sector produces the country's electricity and exports coal to Europe and Asia.
Sluggish rise in new business inflows and a cautious approach to costs reportedly led Indian manufacturers to shed jobs in September.
An official manufacturing index based on a survey of factory purchasing managers edged up to 49.8 in September.
All eyes were on China's benchmark Shanghai Composite, which rose 0.5 per cent Wednesday.
Stocks fell ahead of her speech; the biggest impact was on commodities and energy markets.