9/8/17 Meet someone halfway
If you meet someone halfway, it means you agree to do part of what someone wants if that person will do part of what you want.
The buyers wanted to bring the price down from $15,000 to $10,000, so I offered to meet them halfway at $12,500.
= compromise with, make a deal with, make concessions to, reach a compromise with, come to an understanding with, split the difference with (informal), find a happy medium with, find the middle ground with, go fifty-fifty with
The Republicans are willing to meet the president halfway.