Witnesses said about 1,000 fans rushed forward, as former England star David Beckham arrived and waved to them.
Retired David Beckham, 38, was there to meet members of the university team, as an ambassador to the Chinese Super League.
Fans pushed through a police cordon, and students, police and university security guards were injured.
Chu Dan, a Tongji University player, described the situation as “too crazy”.
“We didn’t expect so many people showing up here. Too many fans of Beckham,” he said.
The event was subsequently cancelled and Shanghai police said they would investigate.
A post from David Beckham, on the popular Chinese social media site Weibo, wished the injured speedy recoveries and expresses regret for the cancellation.
The retired footballer is in China on a seven-day promotional tour for the country’s top football league.
David Beckham began his new role as “image ambassador” when he announced his retirement from professional football, having won the French league title with his team, Paris Saint-Germain.
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