Yesterday Eva did the Italian wave, which is opening and closing your hand with the palm facing you (picture squeezing a foam toy while giving blood) when I said "Eva, say bye bye!"
I have never associated the Italian wave with Bye Bye, mostly because it is purely Italian, and therefore more adapted to CIAO CIAO.
SHE made the translation. This was significant because it was the first time I noted that she connected meaning to words. She says mama all the time, but has not yet decided that it is me. Maybe that will be next.