While disagreement is unavoidable in a professional context, it is crucial that it does not escalate into conflict.

1. Address the issue promptly: Deal with conflicts as soon as possible to prevent them from escalating. Ignoring conflicts can make the situation worse. Any attempt to find resolution should be done in a private setting involving only the parties and the mediator. 

2. Gather information: Before taking any action, gather all relevant information about the conflict. Speak with the individuals involved and listen to their perspectives. Understand the underlying causes and factors contributing to the conflict.

3. Encourage open communication: Acknowledge their point of view through active listening. You rephrase what the other person said without judgment. It does not mean that you agree with anyone, it just shows that you're listening. Avoid saying anything that could be construed as criticism of the other person's ideas or personality.

4. Seek common ground: Identify areas of agreement or common goals among the conflicting parties. 

5. Explore different perspectives: Help individuals understand each other's perspectives by encouraging empathy and perspective-taking. This can foster mutual understanding.

6. Generate possible solutions: Brainstorm potential solutions together with the conflicting parties. Encourage them to propose ideas and alternatives that address the root causes of the conflict.

7. Evaluate options and make decisions: Assess the pros and cons of each solution and decide on the best course of action. Consider the impact on all parties involved and choose a solution that is fair and reasonable.

8. Implement and follow up: Put the agreed-upon solution into action and monitor its progress. 

Conflict resolution requires patience, active listening, and a willingness to find common ground.