But the amount is less than 20 per cent below total Chinese exports last year, and conditional on their being taxed at low or zero rates, the Shanghai Securities News said.
The two economic giants are in negotiations after the EU last month imposed an average anti-dumping tariff of 11.8 per cent on solar panel imports from China.
The tax will rise to more than 47 per cent next month if no deal is reached.
China offered to cap its annual exports of solar components to the EU at 10 gigawatts, or half of the country's yearly output, the newspaper said, citing Wang Sicheng, a researcher with top economic planning agency National Development and Reform Commission.
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But shipments within the quota should be either tariff free or low rate, it said, and those over the limit taxed "according to relevant rules".
Last year, China sold solar components with a generating capacity of 12 gigawatts of the EU's total of 16.9 gigawatts installed over the year, according to previous Chinese media reports.