1. resembling an oracle in obscurity of thought

e.g. the oracular sayings of Victorian poets
so enigmatic that priests might have to clarify it
an enigmatic smile

Synonym: enigmatic

2. obscurely prophetic

e.g. Delphic pronouncements
an oracular message

Synonym: Delphic

3. of or relating to an oracle

e.g. able by oracular means to expose a witch