The position is laying on top of someone, im not sure the exact name for it but in bjj its called full mount.
I like it because it's a good way to give a full frontal hug but out of the 6 pros ive seen only two were OK with this.
A third pro did it but she used forearm to create space and that position was basically driving her elbow thru my chest with her full body weight. Ouch
Heres kind of a pic except here the girl is trying to choke the dude out lmao
http://mma.us/wp-content/uploads/2012/03/04-ottavia-bourdain-igor-gracie-jiu-jitsu-mount.jpg