During these last decades, the notion of primary intersubjectivity has gained acceptance among developmentalists and clinicians. But a new challenge is put out to our models by recent findings on the triangular competence of the very young infant, or her capacity to simultaneously communicate with two partners at a time. This discovery raises the question of a collective form of intersubjectivity. Findings on the triangular competence of the 3- to 4-month-old interactions with father and mother in different contexts of the Lausanne trilogue play situation are reviewed and illustrated, with a view to examine whether it is based on a dyadic or triangular program and whether conditions for a threesome form of primary intersubjectivity are fulfilled. The discussion focuses on the revisions of the theory of intersubjectivity, of developmental theory, and of clinical practice these findings call for, pointing toward a three -person psychology too.