Integrating video calls into a Webflow project can be easily done with the Daily.co video chat API, which provides a simple and straightforward way to embed video calls on custom domains. To get started, users need to sign up for a free Daily.co account, create a paid Webflow account, and use Zapier to create a notification system. The tutorial guides users through creating a Daily.co dashboard room, embedding the call in a Webflow page, using Zapier to notify mentors when students request to join, and publishing and testing the site. The API provides flexibility and programmatic control, allowing developers to build custom functionality specific to their use case. Additionally, users can customize the layout and design of the video call UI with more code.