What does it mean if a guy sings a part of a song to you?

We were doing karaoke night at a meetup group and this guy that has been talking to me a lot recently, was serenading a girl, singing Bruno Mars’s song, ‘Just the way you are;’ and he turned his head after singing ‘Girl you’re amazing;’ and looked me dead in the eyes from across the room and sang to me; just the way you are.’

What does it mean if a guy sings a part of a song to you?
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