Just recently, I had to put my cat six to sleep, she was a beautiful Himalayan, but she was really old, and since I took her to the vet I was told I had to get her put down. It is so heart wrenching of a decision, she's dying anyways so it is to end her pain. After, I be at home, and I would still see her like she never left, moving around and to me she was telling me goodbye again. Now I barely see her, I think she moved on after letting me knows she's ok and I did the right thing.
I also was visited by her in my dreams and asking my late father to take good care of her. Another instance, few years ago, I have the same experience with my mom's dog too, it was my favourite dog. He was put to sleep to due to being old, and when I visit my mom, I see him under the table and such other spots he likes to be in. I am happy that I can still see them, mostly in dreams. I think that I see them because they want to let me know they are well on the other side.
Five years ago I lost my dad to a sudden heart attack, it hurt and I never got to say goodbye. So I went to the mall in that same year, and I swore that a guy walking down the stairs looked totally like my dad! I wanted to run out and hold him, but realizing that I don't want to make a fool of myself. Though it made me happy to "see" him in someone!