Recently, I recalled Mo Udall's quip about congressional committee hearings: "Everything has been said but not everyone has said it."
The recollection was triggered by watching how different perspectives can surface during meetings. Often the smartest thing you can do is to sit back and let others make your point. More frequently than we might admit, they make it better than we would. You also avoid a problem: No one likes a meeting in which only one person makes all of the good points.
And when it comes to disagreements, clarify, clarify, clarify. Listen carefully for meaning and the other person's reality. You may find that the disagreement is minor or major but in either case you'll be better prepared to deal with it because the intensity of your listening may result in your understanding the speaker's position even better than the speaker.