There are several synonyms for the phrase "meet privately" that are commonly used in everyday communication. Some of the popular synonyms include: "have a one-on-one discussion," "hold a confidential meeting," "catch up in private," "converse in a secluded setting," "engage in a discreet conversation," "have an intimate tête-à-tête," "hold a hush-hush meeting," "discuss in confidence," "have a tête-à-tête," and "chat in secrecy." All these synonyms are used to convey the idea of having a private conversation or discussion, often away from the public eye or other prying ears. The choice of which word to use often depends on the context and the level of confidentiality involved.