Well, I'm so sure that cats like the night better than the day, but I cannot speak for all cats. They like to prowl in the night, and sleep whenever they want. I wouldn't worry, because as they get older they will get more tired and go to sleep more. My cat, Sally sleeps usually during the day, and will not sleep if
I am near her and not intending to sleep. She is fine when I am in my bed, and she comes in and sleeps next to me, but if she is sleeping when I get home from school and go on the computer, and she is sleeping on the chair, if I go to sit down, she will run away. And by the way, sorry, but maybe you'd get more replies on Cat General or something .