Английский словарь американских идиом - cross one's mind

or pass through one's mind {v. phr.} To be a sudden or passing thought; be thought of by someone; come to your mind; occur to you. * /At first Bob was puzzled by Virginia's waving, but then it crossed his mind that she was trying to tell him something./ * /When Jane did not come home by midnight, many terrible fears passed through Mother's mind./