To flirt with someone by giving flowers. Can be used figuratively to describe someone flirting in an especially beautiful manner.
Sue: This boy randomly gave me these flowers and smiled at me, why???
Viv: Don't be silly, he's obviously fleurting with you.
Mary: He was flirting with me with and flattering me with such eloquence!
Jane: Wow it's as if he was fleurting with you!