Many folks are working hard at building community these days - networking, talking with mentors and peers, having back-to-back coffee meetings. And yet, many comment on how slowly progress is made.
What might help is letting your current community help you! We often approach coffee/tea meetings as 'one-offs', setting each one up as an isolated incident that may/may not span more than the two original invitees. Why not end these coffee meetings with a question "Who else could you suggest I talk to about X?"
A simple question - but it often leads to introductions to new people.
Don't just meet with your circle, meet with the circles of those you know and offer yours in return!