Persuading vs. Arguing

What does it mean to persuade someone rather than to simply argue with them, the difference simply put is the is that when you are persuading someone you are trying to get them to believe that whatever you are trying to say while arguing with them you are primarily trying to prove them wrong. A few example of this could be if you are trying to persuade  someone to like a certain football team you would tell someone all the achievements of that given team and tell them how this team is giving back to charity and giving points to boost your side. On the other side if you are having an argument on why a team is better you will most likely will be talking about the team the other person likes in a degrading way and talking about how there team "sucks" or talking about how their quarterback is old and can not play football anymore or stuff along those lines. The other main difference is the effectiveness of each, when you are trying to persuade someone your goal is to get them to come to your side of the argument and if done correctly it can be quite effective at convincing the person of one thing or another. On the other hand people who are having an argument with someone will usually not be successful at convincing them of their argument but end up just getting mad or having the other person get mad. With all this being said I am wondering if it is possible to have a certain time or place where an argument with someone would be better than trying to persuade them?