Zabbix escalations supports sending of delayed notifications.
Suppose we would like to be notified about long-standing MySQL problems only. Note that the escalation period was changed to 10 hours and we use a custom default message:
The operation is assigned only to step 2. It means it will be executed once after one escalation period, i.e. 10 hours:
Therefore user 'Alexei' will get a message only in case if a problem exists for more than 10 hours. The notification delay is controlled by the escalation period.