talk (someone) around

Translations
уговорить (кого-то)
She managed to talk him around to her point of view.
Ей удалось уговорить его принять её точку зрения.
Definitions
To persuade someone to change their opinion or decision, usually by discussing the issue and presenting arguments or reasons.
Words
talk

verb
говорить
around

adverb
вокруг