This beautiful little Siamese cat came meowing over to us as Tallulah and I were walking. Tallulah is VERY interested in cats, but I'm never sure exactly what that interest is (friendship? curiosity? mealtime?). I always have her lie down and I feed her treats while she examines the cat (and I always stand on her leash just in case she decides to do something...unfortunate).
She (he?) sidled right up to Tallulah, walking right under her chin...they sniffed each other and then the cat parked herself about 18 inches away. They stared at each other, and then we continued on our merry way.