Hi Pierre
In TrueEngage, our multichannel contact engagement widget, we do support adjusting widget position on the website in our business user friendly management panel. While we support also callback and WebRTC calling you can use it as "pure chat" widget as well. I am happy to demo the product to see if it meets your needs.
Regards
alex
------------------------------
Aleksander Wiercinski
Live Engage Sp. z o.o.
------------------------------