Intrigue
verb (used with object), in·trigued, in·tri·guing.

1.to arouse the curiosity or interest of by unusual, new, or otherwise fascinating or compelling qualities; appeal strongly to; captivate:
The plan intrigues me, but I wonder if it will work.
2.to achieve or earn by appealing to another’s curiosity, fancy, or interest:
3.intrigue one’s way into another’s notice.
4.to draw or capture:
Her interest was intrigued by the strange symbol.
5.to accomplish or force by crafty plotting or underhand machinations.

OTHER WORDS FROM INTRIGUE
in·tri·guer, noun
in·tri·guing·ly, adverb
out·in·trigue, verb (used with object), out·in·trigued, out·in·tri·guing.
un·in·trigued, adjective