"We are working on it and trying to understand what might be involved," Nicolas Bertrand, head of equity and derivative markets for the London Stock Exchange Group (LSE), said in Beijing, according to the China Daily.
The paper said the programme would be similar to the stock connect between the Shanghai and Hong Kong bourses.
That scheme, which was launched in November, enables international investors to trade selected stocks on Shanghai's tightly restricted exchange while also allowing mainland investors to buy shares in the former British colony.
Bertrand did not offer a timetable for the inauguration of such a scheme between London and Shanghai, the report said.
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It added that he said such a tie-up would add more complexity to the British bourse's operations, adding it was in talks with regulators, clients, and assets firms to ensure any connection could meet relevant regulatory requirements and conditions.
London is the largest Chinese yuan market outside mainland China and Hong Kong and the LSE is aiming to launch more trading products denominated in the currency, the China Daily said.
Jon Edwards, LSE's deputy head of primary markets and emerging markets, said it saw opportunities for Chinese companies floating overseas assets in London, adding that those in the oil, gas and commodities sectors often enquire about dual-listing in the city and another exchange.