press something home
US /prɛs ˈsʌmθɪŋ hoʊm/
UK /prɛs ˈsʌmθɪŋ hoʊm/

1.
to make someone understand something completely, especially a point in an argument
:
•
The lawyer tried to press home the importance of the evidence.
•
She kept pressing home her argument about the need for change.