Argument is mediation to prevent disputes between two or more parties. In dreams, it means preventing danger in advance, but it may also mean joining danger.
Dreaming that someone is fighting and going to pull a fight yourself indicates that you will be respected by others because of your usual behavior.
Dreaming that you were injured while persuading a fight, it means that you will make some wrong estimates in terms of investment and must be cautious.
Dreaming that you have a quarrel or fight with someone and others come to mediate the fight indicates that conflicts between family or friends have developed to the point where outsiders must mediate.