Look approachable. If you want to initiate a snuggle session, you have to make your girl want to get all cuddly with you. There are a few ways for your body to say, "It's snuggle time," without you having to be too obvious about it. Once you show her you're ready and that your body is the perfect snuggle tool, she'll come closer. Sit down on the couch first, and let her know what you want. Here's how to show her:
Keep your body open. Your arms should be out and your legs should be a little bit apart. Make yourself look bigger than you really are. Expand the snuggle territory.
Bonus points if you drape a blanket around yourself or put it on your lap. Women love blankets, and the blanket will draw her near you. If you want, you can even set the temperature a little colder than usual so she'll want your body heat, and the heat of the blanket.
Dim the lights. Whether you're watching a movie or just hanging out, nobody want to snuggle with all the lights on.
Make sure to have showered and to look your best. If you just came straight from the gym, she won't be too excited about snuggling with you.