He is 'pressing' [='pressuring'] us for a decision. = He is 'pressing' us to make a decision.
He kept 'pressing the point' that something needs to be done immediately.
Laborers are 'pressing their case' for higher wages.
(..) is like being a doctor. You mean how you don't get emotional about the client? No. I mean, you keep pressing until it hurts, then you know where to look. Forget about impeaching the investigation. (..)2011 TvShow: Suits Title: Pilot Season: 1 Episode 1