How you would solve an argument with a co-worker?

To be honest, usually I do not have any arguments with any of my co-workers. I always try to be neutral and friendly with everybody as I understand that each of us is different. Everybody is from different countries, of different cultures and religions. However, once I had to give a feedback to a new colleague, because of a good intention of mine, just to help him to understand what he did wrong and how to improve