Although dogs can imitate human sounds and give owners an illusion of talking, they’re unable to use their lips and tongues well enough genuinely to talk. So says Scientific American.
But they can communicate with one another and with humans:
Despite what they may lack in the elocution department, dogs do communicate their feelings to humans as well as read our cues, thanks to domestication, Julia Riedel and colleagues of the Max Planck Institute (M.P.I.) for Evolutionary Anthropology reported in March 2008 in Animal Behavior. Dogs follow people’s pointing, body posture, the direction of their gaze, and touches for cues to find hidden food, notes Mariana Bentosela and colleagues at the University of Buenos Aires in the July 2008 Behavioural Processes. They also gaze at their trainer when they need more information to find their reward.
My dog Jazz and I communicate with one another in non-verbal ways.

What do you think Jazz is communicating here?