Inspired by this question: Talking animals in a parallel universe
I wonder, would it be possible, if there were more species which created their own abstract means of communication, would they be able to understand each other?
Let's narrow the question to the biological species, which evolved on the same planet and had multiple chances to live side by side - which means no aliens stuff.
By abstract I mean something more than just "get lost" signals. Let's say it'd be a communication comparable to something slightly more advanced than a few minutes long chit-chat with a stranger about things like weather or recent space programs (no real science or tech-y stuff, more pop-science) or means of transport.
Edit: It strictly has to be different species.