Write a letter to a prospective client following up on meeting.

Dear Sir

This is to express our thanks to you for taking out time to meet me yesterday. I thoroughly enjoyed our discussion and took careful note of your requirements with regard to the matter. 

I believe very strongly that [name of the firm, e.g., legal counsel firm, namely Richards and Associates] can provide you with the level of service you expect and deserve and that we can establish a firm relationship with you. I welcome the opportunity to be of service to you, and look forward to meeting you again. 

I would be pleased to set up a lunch meeting for you and your colleagues, if any along with my colleagues, and discuss further. 

Thank you again for your time and consideration. 

Sincerely,