conflict resolution

The idea is to listen - without interruption. 

Then to reflect - both in the sense of thinking about what you just heard - and to act as a mirror on what you just heard.

So, finally, to repeat back to the person what you have heard and what you understand - without interpretation.

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This is the basics of conflict resolution:

Conflict resolution - Wikipedia

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And this is how to do it:

Training for Conflict Resolution | Main Section | Community Tool Box

Conflict Resolution: Definition, Process, Skills, Examples

Conflict Resolution Skills - HelpGuide.org

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BBC Radio 4 gives us an example:

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Does impartiality impede good journalism?

Across the Red Line
Series 5

Anne McElvoy presents the debate programme which invites two public figures who disagree on an issue of principle to listen closely to each other's arguments - and then to find out what drives them. In this edition, 

Anne is joined by James O'Brien, LBC presenter and author of 'How Not to Be Wrong', and Roger Mosey, former Head of BBC Television News, to debate whether impartiality impedes good journalism. 

And Anne works with conflict resolution specialist Louisa Weinstein to foster a more exploratory conversation, to encourage both speakers to probe the values and experiences that underpin each other's beliefs.

Across the Red Line - Series 5 - Does impartiality impede good journalism? - BBC Sounds

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They are specialist skills:

Louisa Weinstein | Conflict Resolution Centre

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Here are some videos from more specialists:

Conflict to Resolution in 4 Steps - YouTube

Three Ways to Build Trust For Effective Conflict Resolution | The Conflict Expert

3 steps to having difficult — but necessary — conversations |

3 ways to resolve a conflict | Dorothy Walker | TED Institute - YouTube

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