Opening greeting
When to use: Use it as your first reply when a new chat lands on a services or case study page.
Script
Hi visitor first name, I am agent name at firm name -- a real person on the practice area side, not a bot.
I can see you are reading about page topic. What is the situation you are trying to solve? Give me the rough shape of it and I will tell you straight whether it is something we actually do well.
If they do not reply
No pressure at all -- I will leave this window open. If it is easier, drop the problem in one line and I will come back with a proper answer rather than a brochure.
If they ask who you are
I am on the practice area team here, so you are talking to someone who does the work, not a receptionist passing messages along.
Why it works
It puts a named human with real domain standing on the other end, references the exact page they are on, and asks one open question about their problem. Consulting buyers are quietly assessing whether you understand their world in the first thirty seconds, so an offer to say no is more credible than an offer to help.