The phrase "intriguing possibility" refers to something that is interesting and exciting, presenting a potential or opportunity that captures one's curiosity or fascination. Full definition
The results raise intriguing possibilities for a variety of future materials. (sciencedaily.com)
It hints at intriguing possibilities for concrete improvements to American laws and institutions, but as a philosophical book, it can only bring them up in passing. (firstthings.com)
The titles of these works offer intriguing possibilities. (artnewengland.com)