What are Digicel's Call Centre rates? Digicel's Call Centre operates 7 days a week between 6AM - 11PM daily. Calls to Customer Care are Free from 6AM to 11PM, 7 days are week. Related articles What is the New Peak & Off-Peak Call & SMS rates for On-net calls? What is a Scam SMS and how do I identify it? Contact Us What is the cost for a new phone at a Digicel Shop? Why does someone else have my number?