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A movie about a girl... and her panda

When I was a kid, somewhere around 2003 or 2004, there was this animated movie I would oftenly see on TV. 
So the story, I assume, was set in China (either there or Japan). The main protagonist was a girl who had a (pet?) panda. From what I remember, she wasn't especially girly, nor was she a nice person. My clearest memory of that movie is that girl explaining to the panda a myth of the creation of pandas, which goes as following: During daytime, white bears would appear, while during nightime it was the black bears' turn. Eventually, one of the bears forgot to go back and ended up meeting a bear from the other kind and fell in love with it, thus the pandas were born. 
Another vague memory I have is of the girl fighting some old man who belittled her because she was female, and her response was that the blood that flows in both males and females is red; then implied that his blood might be green. 
Also, I really can't remember more, but I do think that somewhere in the story, there was a dragon too, which I guess is kinda natural if it was set in China. 
I've been looking for this movie for a long time and I will appreciate it if somebody tells me the name. It's not Mulan, nor could I find it in any of the movies databases.

asked Feb 15, 2016 in Name That Movie by beru (1 point)
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