When it comes to discussing or having a conversation with someone, there are several synonyms that can replace the phrase "talking tete-a-tete." One such term is "having a heart-to-heart," which usually refers to a deep, honest and earnest conversation between two people. Another synonym for this phrase is "chatting one-on-one," which means that two individuals are having a conversation privately, without the interference of others. "Engaging in a tête-à-tête" is another suitable phrase used to describe an intimate discussion between two individuals. In essence, these phrases all describe the same thing - a personal and meaningful conversation between two people, regardless of the chosen phrasing.