cross (one's) mind
To be thought of by one. Take time to form your response to the interviewer—don't just blurt out the first thing that crosses your mind. I haven't thought of my high school English teacher in years, so I'm not sure why she crossed my mind today.
cross one's mind
Also, pass through one's mind. Suddenly occur to one, as in It never crossed my mind that they would turn the proposal down, or It passed through her mind that he might have gotten lost. [Mid-1700s]