enigmatically

adverb3

1. •
   Acting in a manner that suggests an enigma.

   • He hurried out, glad to escape, leaving Cora frowning enigmatically under her hair. — 1938
2. •
   Behaving mysteriously or strangely.

   • "Leila!" she said enigmatically. "Have you seen her?" / "I went to her flat last week with Dad—he likes her." / "Delilah is her real name, you know. All men like her. And Captain Fort is her lover." — 1919
3. •
   Functioning in a way that is unexplainable.