I tend to be more outgoing in public than shy, but trust me, it was a learned characteristic.
Because I know how it feels on both sides, when I
am in a shy or reflective mood, I may stand on the sidelines, but I try to remember to keep a smile on my face, and not to cross my arms (a defensive mood). I'm not talking a Chesire Cat smile, more of a Mona Lisa type - slight smile, and open. That way, there's no confusion that I'm stuck up, as opposed to low key.
So... the next time you don't feel like being the belle of the ball, just remember not to frown, and not to cross your arms (holding a empty cup usually helps), and you might find similarly low key people coming over to talk.