If a section of your organisation seems to be in conflict more often than not, you are probably spending too much time dealing with serial complaints and grievances. Something has to change.
There are numerous ways to facilitate teams, so be clear about the purpose of your intervention. Is it to help them explore the causes of conflict or to understand how to identify and appreciate strengths?
Help them experience the benefits of meeting commitments and delivering great results and re-direct their energies towards working together. Watch this fun TED Talk in which Kwame Christian talks about the role of compassionate curiosity in conflict resolution.