Sting has written songs exploring the work of Carl Jung, contemplating commitment, and quoting Shakespeare. This one is about a dog who fall in love with his owner and gets jealous when she brings home a new boyfriend. The dog doesn't understand why this new man has entered their life, and tries to convince his master that they were fine without him - their perfect love has gone wrong.
The dog's owner talks to him in French; she is voiced by the female French rapper Sté Strausz. Sting asked her to rap in French as if she was talking to the dog. It didn't really matter what she said, as point is that the dog can't understand it. In her raps, she explains to the dog that while she sympathizes with him, he's going to have to deal with this new guy.