Spooning someone resulting in a deeper connection either physically, or emotionally. Physically, this may encompass the beginnings of dry humping, but is basically like trying to go into the foetal position while clutching said partner. Emotionally, a sense of warmth will manifest itself due to affection or contentedness.
"Rainn Wilson is so good on The Office it is like he is deep spooning my soul"
"They deep spooned so eagerly he injured himself on his zipper"