From Longman Dictionary of Contemporary Englishmeet somebody halfwaymeet somebody halfwayAGREEto do some of the things that someone wants, in order to reach an agreement with them → meet
Examples from the Corpus
meet somebody halfway• Parents will be unable to afford their children's education unless colleges are prepared to meet them halfway.• They won't pay all our expenses, but they might be prepared to meet us halfway.• Democrats plan to meet the Governor halfway on welfare cuts. 