In an ideal world we will always have our heads 100% in the game and able to read a room.
While initially daunting, introducing yourself to complete strangers doesn't need to be worrisome. In a large group setting the best way to ease into the experience is to look for a small group of people who are not in a big discussion. Groups of 2-4 are ideal to introduce yourself to. Finding someone not speaking to anyone else in the room means you have their undivided attention. Have a few go-to lines for after the initial introduction. Try to think of questions other than 'what do you do'. Ask someone what they love about their job or the best snippet of wisdom they have received. Thinking outside the box will leave a lasting impression with those you speak with.
Don't forget your business cards and a pen!
Writing down the context of how you met the person on their card or a follow up question will help you remember why it was so important to exchange details. Know also as well to leave a conversation as well. There will be a natural time for a conversation to end and it is best to break apart before each of you tires of the conversation.
The best networkers will have meaningful conversations with many people. It is not necessary to shake hands with everyone in the room. So remember, it's quality, not quantity that brings the right business contacts and the more you practice introducing yourself to strangers the more natural it will become.