突然想到｜突然看到｜突然遇到

idea / thought 突然想到

come to mind     better than(come to my mind)

come to me

come into my mind

some ideas just pop up from no where

person

come up to me   突然遇到～突然看到～人



I was totally preoccupied by something else  there need not be any surprise involved. All it means is that the person approached you.