Well, from Songjiang to Shanghai, it almost takes 2 hours, so you just have a little time to have a nightlife at bars or others! Then, stay one night and start your tour on Sunday morning. You could go to Chenghuangmiao for a breakfast and then visit nearby Yuyuan Garden. Then, walk to the Bund and then to the famous Nanjing Rd., vice versa. In the late afternoon, take a ship from the Bund to Pudong to view the modern profile of Shanghai. Maybe go to the high Oriental Pearl Tower, Jinmao Tower or the Shanghai World Financial Center. Of course, you could do some shopping en route!
Hope this helps!

It sounds like a brilliant plan... good idea with Saturday's night in the City. Thank you.
Is something to see in Songjiang or around?

Sorry, just saw your message. It seems that few things you could do in Songjiang, especially at night. The most attractive place in this area is the Happy Valley theme park, but I don't think you would like to have a try~
Nice trip~