Is this a good plan to flirt with an introverted girl?

[Johnny]

There's this girl I like who seems rather shy or introverted (not attached to her friends, looks as if she were on her own world some time), that's been staring at me for quite a time now.
So I grew a pair, approached her, talked to her nice and easy (college stuff), and left. Then I saw her staring at me again, I slightly winked an eye at her, and she waved at me.
Now, even though we don't share any classes, I have done a little "investigation" so I know how to "casually" run into her again, and again.
What I'm thiking is doing those short nice conversations with her for a while and (if she seems confortable and interested) "sadly complain" about how we only see each other when we bump into each other, and see if we become friends on Facebook or something like that.
Does this sound good or is it kinda slow?
Please, I don't wanna blow this up!
Thanks!

[francesfarmer]

I would do exactly what you put here. If she is shy/introverted, a slow approach is best. You seem to be reading her signals well and she seems to be responding so far. I'm shy and introverted myself and someone taking the time to approach me this way would definitely work. Good luck!

[SUN SON]

great plan