Conflict can be tricky. It usually starts from a disagreement then spins out of control.
Conflict may be hurtful; it may be repetitive. However conflict is not bullying because there is not an imbalance of power.
Step 1 Listen
If someone is angry listen to what he or she has to say. They may be right.
If they are right:
Apologize and say. "Hey, I'm sorry you're right."
(Then give them time to cool down.)
If you think they are wrong use step 2
Step 2 Repeat
Repeat their points back to them. This is called empathetic listening and it shows you care and are paying attention.
Step 3 Respect
It's a good idea to tell the person you're having conflict with that you respect them or at least respect their point of view.
"Hey Timmy, you think the Giants are the best baseball team. I understand, but I disagree. I do respect your opinion though and I can see why you think that."