Our one barn cat does this almost every night. She loves the horses and they are so careful around her. It amazes me that a 1500lb animal carefully watches where to she/he steps so not to injure a 6 lb animal.
Too cute! We have a 5ish month old kitten that my horse found in the pastures, so we kept him. :) She would love nothing more for him to hold still so she can be best friends... he still isn't too trusting of the giants! And I know they would be really gentle with him. I hope with time he will warm up to them!