The first step in this process is to say that you would like to meet with them again and that you will call to arrange a time and place to have a coffee and a chat. Then call when you say you will and make that arrangement.
When you meet for that coffee, make sure you have done some research about the business of the person you are meeting and prepare in advance ideas about how you can help them within their business.
Do they publish an online newsletter you can produce for them? Do they send out information packs or quotations to prospects and could you do this for them? Do they work away from the office most of the time, could you handle their telephone calls or check their email for them?
The more prepared you are the more you will be able to drop ideas into the conversation without sounding as though you are ‘selling’.
Don’t forget also to think about who you know that could potentially be a client or useful contact for your prospect. The whole point of networking is to give and take and if you start the relationship by giving something of value to your prospect, you will instantly win their respect and trust and they will see you as someone they would like to work with in future.