1. A private discussion between two or more people about personal matters, typically conducted in confidence
We had a personal conversation about her career goals.
Tivemos uma conversa pessoal sobre seus objetivos de carreira.
2. A direct, face-to-face or one-on-one interaction as opposed to a group discussion or formal setting
I prefer to have a personal conversation rather than sending an email.
Prefiro ter uma conversa pessoal em vez de enviar um e-mail.