I followed this guide to install Ubuntu Core 16 on my Raspberry Pi 3 Model B.

# Download Ubuntu Core 16 for Raspberry Pi 3
wget http://cdimage.ubuntu.com/ubuntu-core/16/stable/current/ubuntu-core-16-pi3.img.xz

After following the installation instructions on the above link, we need to perform some additional configuration to setup everything properly.

# List the available timezones
timedatectl list-timezones
# Set the correct timezone
sudo timedatectl set-timezone Europe/Brussels
# Set a custom hostname
sudo hostnamectl set-hostname pi-core