Prerequisite: Create a disabled host with a trigger.
Steps to reproduce:

1. Go to Monitoring->Problems
2. Click on Select button of 'Trigger' multiselect.
3. Observe: it is not possible to select any trigger from disabled host.
4. Close select popup
5. In Trigger multiselect field start typing name of the trigger from disabled host

Result: Trigger is displayed in autocomplete
Expected: Multiselect Select popup and autocomplete should contain same entries. In this case only enabled triggers triggers from monitored hosts should be displayed.