CRM Integration

Does ZohoProject integrate with ZohoCRM? I love the project management capabilities, but don't want the redundancy of multiple task lists, calendars, users, meetings, events, etc. I want to be able to receive a new lead in CRM, convert it to a customer and trigger a new project in ZohoProject, tied to that account. when the project reaches certain phases, CRM prompts me to contact the account with an update.