win over
US /wɪn ˈoʊvər/
UK /wɪn ˈoʊvər/

1.
convaincre, gagner à sa cause
to gain the support, confidence, or approval of someone
:
•
He tried to win over the skeptical audience with his passionate speech.
Il a essayé de convaincre le public sceptique avec son discours passionné.
•
It took a lot of effort to win her over to our side.
Il a fallu beaucoup d’efforts pour la convaincre de rejoindre notre camp.