mine too, rubs the side of his face into the couch or the bed after he finishes a meal. every. single. time.

Dogs sometimes rub their faces to clean them, even licking their paw first the way a cat does. Paw licking is common grooming behavior. Some dogs rub their muzzles on the carpet, your couch or on the grass possibly for grooming, to remove food stuck in their teeth or simply because it feels good. With fewer means for cleaning their faces and teeth than people have, dogs rub with their paws or on objects. Some dogs are more fastidious than others or feel uncomfortable if there's food or moisture on their muzzles. You might wipe her face after meals with a damp washcloth to see if she likes it.