From a spherical image, a gaze point, instead of gaze vectors, can be estimated directly because a remote spherical camera can observe a user's face and a gaze target simultaneously. This paper investigates the problem of estimating a gaze point in a spherical image from facial landmarks. In contrast with the existing methods which usually assume gaze points move on a narrow plane, the proposed method can cope with the situation where gaze points vary in depth for a relatively wide field of view. As shown in the results of comparative experiments, we find the orthogonal coordinates of facial landmarks on a unit sphere is a reasonable representation in comparison with spherical polar coordinates; the cues of head pose is helpful to improve the accuracy of gaze points. Consequently, the proposed method achieves a performance on the accuracy of gaze points estimation which is comparable to the state of the art methods.