Generate leads by offering discounted treatments.
Ask your anonymous visitor's reason of visit and contact info by offering discounts on different treatments.
Pop a modal window and get the attention of your visitor bouncing off your website. Ask for the contact details of your bouncing off visitor in the return of a free or subsidised health check up.
With the same traffic as before you get more leads now. With clear intent, contact info and real-time reporting you get valuable leads to reach out. You could even route requests to specific department in real time.