MeisterLabs, a company that creates MindMeister and MeisterTask, has implemented automation in their team communication using Slack and Zapier. They have built workflows that automate tasks such as vacation request management, lead creation, and communication between teams. By automating these processes, the company is able to work more efficiently and effectively, freeing up time for sales and outreach efforts. The use of Zapier has improved cross-team communication, allowing MeisterLabs' international team to stay connected and informed. The company's automation process involves integrating multiple applications, such as Google Sheets, Gmail, Slack, and Close.io, to streamline their workflow and productivity.