We couldn't communicate with the most advanced primates from a million years ago. A civilization a million years past ours would be unlikely to want to talk to us. The average star in our galaxy is a billion years older than our sun.
Based on what? Just because a civilization is extremely sophisticated doesn't mean we have nothing to offer.
We still study primates and ants. Hell, we even desire that we could communicate with chimps and dolphins.
Communication is impossible with primates and ants simply because they lack the hardware to engage in abstract communication.