The investor groups will be involved in the club's construction and cultural projects, and even in team building, China's Caixin Media reported.
"The deal would probably be the first time that Chinese corporations have invested in a foreign sports team," said He Zhenwei, an economist with the China Industrial Overseas Development & Planning Association. As part of its 12th Five-Year Plan (2011-15), the government is encouraging companies to invest overseas.
Overseas direct investment since the financial crisis has been on the rise. In 2011, China's ODI gained by 1.8 percent from a year earlier to $60 billion, according to the Ministry of Commerce.
Some recent and high-profile cases include construction equipment maker Sany Heavy Industry Co Ltd's announcement to buy a 90-percent stake in Germany's largest concrete pump maker and China's largest entertainment group Dalian Wanda Group's deal to buy the US movie chain AMC Theatres.
But He cautioned that there are risks for the deal, citing the Italian club's current value.
Inter Milan failed to qualify for the financially lucrative UEFA Champions League this season.
China Railway Construction shares were down about 2 percent upon the news, reflecting investor concern of the deal's profitability.
But China's soccer fans welcomed the news.
"Inter Milan has a huge fan base in China. I think the deal will benefit football fans,'' said Wang Wen, president of the Beijing Soccer Fans Association.
Chinese investors have been linked to global sports clubs before.
The Los Angeles Times reported last year that the Dodgers had received a $1.2 billion offer to buy the city's troubled Major League baseball team, funded, in part, by Chinese investors.
China Railway Construction has actively pursued overseas investment this year, signing two projects in Africa worth 9.1 billion yuan ($1.43 billion). In November last year, a consortium involving the Shanghai-listed company announced a deal to develop an iron ore mine in Guinea.