The trade-off between awareness and interruption is a crucial aspect in network fault notifiers: Low severity alarms should not distract operators from other primary tasks, however it might be crucial that operators promptly react to critical notifications. A notification system should hence determine when a particular interruption is appropriate and how it should be presented. In this direction, this paper presents a multistep design path beginning from the objective of designing a proof-of-concept for a glanceable alarm notification component for telecommunication network management systems based on a peripheral display approach. In particular the goal was a notifier guided by severity-based strategies and offering the information expressiveness of a one-notification-at-the-time perspective while enriching it with overview capabilities to guarantee (possibly subliminal) long-term local and global content comprehension and prompt reaction only when the interruption from the foreground task is dictated by the fault severity. A first design macro-phase led to the simple yet effective GLANCE (GLanceable Alarm Notification for a User Centered Experience) model, based on a visual coding technique oriented to comprehension and reaction, and a transition strategy oriented to interruptions and reaction. A second design macro-phase studied the application of GLANCE to a personal customizable multichannel notification tool and to a service-oriented fault monitor for digital terrestrial television broadcasting networks.