suggest itself to
suggest itself to (one)
Of an idea, to come into one's mind seemingly out of nowhere. A plan to take over the company suggested itself to Samantha. An exciting new idea suggested itself to me while I was listening to the speaker give his presentation.
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
suggest itself to someone
[for an idea] to seem to present itself to someone. A new scheme suggested itself to Alice as she looked at the records of the last attempt. As you read this, does anything suggest itself to you?
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.