This stray doggie ran about 1/2 of my run with me. She checked the entire time if I was fine ran ahead sometimes and then waited for me to catch up. She didn't want to leave after the run and ended up coming up to the apartment and I wish we could keep her.
The cat I've seen around the apartment block but was petrified whenever you tried to approach her. The one evening I found her outside our door and she immediately ran away. I put some food out and I've never seen a cat eat that fast.