However, sometimes you may encounter a person who wants to dominate the discussion. Tell the dominator that you need another point of view. Ask the group to comment on the dominator's primary point. If there is no discussion, then move on. Make clear it is not that you don't want their input, you simply feel that others are holding back.
Some conflict can occur in any group environment.
In fact it is a necessary and potent ingredient in creativity. Restate or paraphrase controversial or incendiary statements. This gives people time to cool down. Look for similarities in points of view. Just one point of agreement may lead to consensus.