Is the word conversar the same in Brazilian and European Portuguese?

No

While the spelling, grammar, and basic dictionary definition of "conversar" are the same in both dialects, there is a difference in typical usage and syntax.

In Brazilian Portuguese, "conversar" is used very broadly to mean "to talk" or "to chat" in almost any context, whether the interaction is brief or long. In Continental Portuguese, "conversar" specifically implies a more prolonged, purposeful, or deep exchange (to converse/chat), whereas the verb "falar" is much more frequently used for the simple act of speaking or communicating a message. Additionally, the two dialects use different grammatical structures to express ongoing actions: Brazilians use the gerund (conversando), while Portuguese people use the preposition "a" + infinitive (a conversar).

Brazilian Portuguese Examples

1. Eu preciso conversar com você agora. (I need to talk to you now.)
2. A gente estava conversando sobre o trabalho. (We were talking about work.)
3. Ele conversou comigo rapidinho no corredor. (He talked to me very quickly in the hallway.)
4. Vamos conversar mais tarde? (Shall we talk later?)
5. Eles estavam conversando muito ontem à noite. (They were chatting a lot last night.)

Continental Portuguese Examples

1. Eu preciso falar contigo agora. (I need to speak to you now.)
2. Nós estávamos a falar sobre o trabalho. (We were talking about work.)
3. Ele falou comigo depressa no corredor. (He spoke to me quickly in the hallway.)
4. Vamos falar mais tarde? (Shall we speak later?)
5. Eles estavam a conversar muito ontem à noite. (They were having a long chat last night.)