Cat Head Pressing Sleeping. Head pressing is characterized by the compulsive act of pressing the head against a wall or other object for no apparent reason. These cats are not relaxed at all, this is when to be concerned.
While this is typically normal behavior for cats, in some cases it might be an indication of a health issue. When it comes to head pressing, though, if you see your cat doing this against walls while sitting and while awake, this could be potentially more serious. I wouldn't worry if your cat is just sleeping like that and happened to roll over into a weird position.
Below are five pictures of my cat, joey, sleeping in a “head pressing” position.
A cat pressing its head firmly against you, walls or floors for prolonged periods is not bunting. Head pressing in cats is an attempt at pain relief. This is considered “normal cat behavior“ and you can see that he is relaxed. Tumors that begin in the brain are known as primary tumors.