It's probably easier for you to explain how you think it works and then we can "correct" you to the "American style". I think you won't have much of an issue if you're European. It's mostly the Chinese students that have problems.
From my outsider view of Chinese networking, it seems Chinese consider just being formally connected the same as "networking".
For example, someone that never spoke to me, only knew me through a common friend and being in the same program, asked me to edit his very long statement of purpose to PhD programs. He also seemed to expect me to carefully help him plan out his options and strategy for approaching the programs. We never spoke to each other, but the impression I got is that if I were Chinese, I might actually do all this for him for some reason. I don't know why I would but then again I'm not Chinese. This happened to me several times.
As another example, I would often see Chinese students get excited that there was some alumni connection, and then when the alum would show up to meet us, they'd do everything basically to show they were not knowledgable about the industry, lacked passion or real interest, etc., but somehow they thought this alum would go the extra mile to help them get jobs. The idea that they needed to do something to impress him/her seemed to be foreign to them. They seemed to think merely being connected was enough.