You may go to the University Hospital in case of emergency if you stay at SipingCampus. Besides, some hospitals are officially authorized to provide medical care to the international people in Shanghai.
Emergency call in China: 120
The ambulance usually arrives within 8 to 10 minutes if not sooner.
Visit the following sites for more detailed information.
https://med.tongji.edu.cn/En/Home (affiliated hospitals at the bottom)