Here’s an interesting survey.
In two studies, subjects induced to exchange mutual unbroken gaze for 2 min with a stranger of the opposite sex reported increased feelings of passionate love for each other. In Study I, 96 subjects were run in the four combinations of gazing at the other's hands or eyes, or in a fifth condition in which the subject was asked to count the other's eye blinks. Subjects who were gazing at their partner's eyes, and whose partner was gazing back reported significantly higher feelings of affection than subjects in any other condition. They also reported greater liking than all subjects except those in the eye blink counting condition. In Study II, with 72 subjects, those who engaged in mutual gaze increased significantly their feelings of passionate love, dispositional love, and liking for their partner. This effect occurred only for subjects who were identified on a separate task as more likely to rely on cues from their own behaviour in defining their attributes.
Source: "Looking and loving: The effects of mutual gaze on feelings of romantic love" from Journal of research in personality, Vol. 23, No. 2. (June 1989), pp. 145-161.
So keep staring into a person’s eyes and if you can get them to look back at you, then you can have a greater chance of getting the person to like you if not more. Nice…