There is something so peaceful and serene about seeing our grey cat sleeping. Their soft fur and gentle purrs are a welcome sight after a long day. Grey cats are known for their calm and relaxed personalities. They are often chosen by people who want a low-maintenance pet. Grey cats are also very adaptable. They can live in apartments or houses, and they can get along with other pets. When grey cats sleep, they often curl up into a ball. A Grey Cat Sleeping Sticker.