Meaning: Beat someone in a debate, discussion or argument
Example: The teacher tried to ARGUE the girl DOWN, but she couldn't.
Meaning: Persuade someone to drop the price of something they're selling
Example: She ARGUED him DOWN ten percent.
Meaning: Try to persuade people not to accept a proposition, motion, etc
Example: They tried to ARGUE DOWN the proposal.
We have 2 phrasal verbs with 'ARGUE'