Here's a breakdown of their conflicts:
* Diagon Alley: In *Harry Potter and the Sorcerer's Stone*, Lucius insults Arthur in Diagon Alley, mocking his job at the Ministry of Magic and his lack of wealth.
* The Chamber of Secrets: In *Harry Potter and the Chamber of Secrets*, Lucius frames Arthur for stealing the diary, further increasing the animosity between them.
* The Order of the Phoenix: In *Harry Potter and the Order of the Phoenix*, Arthur and Lucius have a tense encounter at the Ministry of Magic, but it doesn't escalate to a physical fight.
Perhaps you're thinking of a fan fiction or another interpretation of the story where a brawl between the two fathers occurs?
If you can provide more context about the brawl you're referring to, I might be able to give you a more accurate answer!