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

Yes

The word "diálogos" is identical in spelling, meaning, and grammatical function in both Brazilian and European Portuguese. The only difference is in pronunciation. In Brazilian Portuguese, vowels—especially unstressed ones—tend to be more open and clearly articulated. In European Portuguese, unstressed vowels undergo significant reduction, meaning they are often pronounced much more closed, shorter, or even swallowed.

Brazilian Portuguese Examples

1. Os diálogos desse filme são muito bons. (The dialogues of that movie are very good.)
2. Precisamos de mais diálogos entre as equipes. (We need more dialogues between the teams.)
3. Os diálogos da série são super naturais. (The dialogues of the series are super natural.)
4. Ela gosta de ler livros com diálogos profundos. (She likes to read books with deep dialogues.)
5. Os diálogos políticos estão muito tensos hoje. (Political dialogues are very tense today.)

European Portuguese Examples

1. Os diálogos deste filme são muito bons. (The dialogues of this film are very good.)
2. Precisamos de mais diálogos entre as equipas. (We need more dialogues between the teams.)
3. Os diálogos da série são muito naturais. (The dialogues of the series are very natural.)
4. Ela gosta de ler livros com diálogos profundos. (She likes to read books with deep dialogues.)
5. Os diálogos políticos encontram-se muito tensos hoje. (Political dialogues are very tense today.)