Synonyms for Tete-a-tete (same or very similar meaning)
WordNet sense 1 (small sofa that seats two people):
loveseat, vis-a-vis, love seatWordNet sense 2 (confined to particular persons or groups or providing privacy):
privateWordNet sense 3 (involving two persons; intimately private):
head-to-headFrom the ODE community, based on WordNetadd/edit