Answer:
Deposit red liquid in me.
What can fill a room but takes up no space?
I am in the past never in the future. I don't exist but have existed. I saw what you saw and that is what I will ever see.
Soft, hairy, from door to door. I am the pet that always stays on the floor. What am I?
I lose my head in the morning and regain back it at night.
I'm the source of all emotion but I'm caged in a white prison.