That’s a good and important question. I am glad you asked.
During the meeting you should try to find some touch points with people to build relationships, thus ask for their hobbies and iterests outside the work. If you feel personal fit and match, you definitely can have some follow-ups later, based on that.
You can also take your CV and CL to the event, there is 100% chance that consultants will give you useful tips for its improvement. I always do. Moreover, if consutants look through your CV, they might find it interesting and make a referral.
Don’t forget to thank all participants you meet there for the event in LinkedIn with personal mail.
NB: Be passionate and sincere while asking questions.