Acercar posturas

Acercar posturas
 

To come to an agreement?

Not quite. It's rather to build the bridges that will allow an agreement in the future. It's more like identifying what is a shared view or position and deactivate those points from which a harsh opposition may arise, and achieving on the whole a compromise to negotiate all that is in between according to certain rules and procedures.

The two sides are closer to each other !

Yes , something like aleCcowan said.
Acercar posturas is more often used when talking about political negotiations , or business stuff.
It means like "to try to get closer to an agreement" or something.