Animals certainly communicate with each other, and can even teach each other new skills. But I don’t know if we’d really consider it talking in the same way that people talk. They probably only talk about stuff that is right there in front of them (wow, look, a lion, run!) and not about things they can’t see. People spend a lot of time talking about things that are out of sight (did you see the football at the weekend? what are you doing tomorrow after work? etc).
Lots of animals communicate. Pack and herd animals need to do this to co-ordinate attacks on prey and to communicate to the others when they are in danger. Bacteria also communicate – in small umber they are harmless and can be killed by our immune system. Therefore they stay quiet until there are enough of them around so that together they can withstand our immune defences. Ants and bees use a similar technique for finding a new home!