There will always be disagreements when working in teams. Regardless of what team members disagree about, each individual is responsible to execute their duties, and project goals must be achieved. Employers recruit employees who can compromise and solve problems. This question could be answered as follows:

I have worked in teams where individual members feuded and disagreed with other members. I typically ignored these issues at first since my colleagues usually resolved their differences quickly. If problems were not resolved quickly, I met individually and together with each feuding party and recommend a workable compromise. I always tried to maintain an objective perspective and not involve myself directly in the conflict.