Unfounded rumor
I'm hesitant to post this, but the article exists so...
A few days ago the French tabloid 'Closer' published an article speculating that Alizée will be marrying Grégoire. That seems to be a safe assumption to write an article about, though they don't cite any sources other than Alizée's and Grégoire's social media posts which express their love for one another.
I can't read the French in the article with any hope of accuracy, but I've heard that it's all speculation. I've attached an image of the text below, it's legible for the most part, if someone wants to give a shot at reading it.