sideways-snuggle
A.k.a. "sideways-hug" or "right-angle cuddle". It involves first standing next to the person whom you wish to canoodle with and using just one arm and hand to gently draw him over to you so that his chest is nestled against your side, afterwhich you affectionately tilt your head over against his and soothingly knead his back and shoulder-blades with your hand.
The sideways-snuggle can also loosely refer to a pleasurable position that you assume while canoodling with someone in bed; it's basically "half-spooning" the person, whereby you are turned on your side and nestling up against your lover, but he is either face-down or lying on his back, and so you are snuggling up to his side and have one arm (and often one leg, as well) affectionately draped over him. This "partial embrace" position is often employed during semi-hot weather, where the person still wants to cuddle wif you but would be too warm if he was totally spooning with you or fully nestling against you chest-to-chest.