Vision: Staring at someone: you want to influence that person’s opinion and behavior to your advantage. Staring into space: a sign of the dreamer concentrating. See Hypnosis, Stiff.... Dreamers Dictionary
To dream that you are staring at something or someone, indicates that you need to take a much closer look at some situation or relationship in your life. Perhaps you need to approach a situation from another angle or viewpoint. This dream may also represents your passivity and suggest that you need to start taking action.
To dream that someone is staring at you, suggests that you are hoping someone would look your way more often. It may also represent anxiety or pride.... My Dream Interpretation