Asylum / Asylum Seeker dream meaning is explained below using 3 different sources. Each interpretation is shown with its source.

Interpretation 1 — Versatile - Anonymous

Psychological / emotional perspective: An enclosed space where we have to abide by rules imposed by others can give a sense of safety and security. Seeking asylum where one is not living in danger from our peers and compatriots suggests we are conscious that our thoughts and beliefs are not in tune with others. This may reflect a working situation.
Source: Dream Meanings of Versatile Author: Versatile - Anonymous

Interpretation 2 — Versatile - Anonymous

To be seeking asylum suggests the recognition that we need a sacred space. In the old-fashioned sense an asylum was an institution, so it may be that we are seeking safety in structure and proscribed boundaries.
Source: Dream Meanings of Versatile Author: Versatile - Anonymous

Interpretation 3 — Versatile - Anonymous

Material aspects: When an asylum seeker appears in dreams it is probable that we are neglecting part of our persona and putting it at risk.
Source: Dream Meanings of Versatile Author: Versatile - Anonymous