I would think that Madonna watched all of the performances, including Alizée's, being that it was for her. I think Madonna knows of Alizée, and has probably though about singing with her.
I'm not in any profession (professional student? lol), but i'm pretty sure a professional tries to keep up with the news etc. in their professional world...meaning that Madonna would know of Alizée. Of course this could all mean nothing, because Madonna is a celebrity, and you never know who they are and are not paying attention to.
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