Christmas Eve falls on a Sunday approximately once every seven years. The last time Christmas Eve fell on a Sunday was in 2016, and the next time will be in 2029. It's also worth noting that Christmas Day falls on a Sunday once every five years. The last time Christmas Day was on a Sunday was in 2015, and the next time will be in 2025. So, it's relatively uncommon for either Christmas Eve or Christmas Day to fall on a Sunday.