win sb over

win sb over / around / round (to sth) (succeed in changing someone’s opinion; get sb’s support or approval by persuading them that you are right) — переубедить; убедить в своей правоте | перетянуть (на свою сторону)

Example 1: They’re against the project but I’m sure I can win her over.

Example 2: I think we can win them over to our side, to the ideas we've got, because they're good for America. (spoken)

Example 3: Williams (2002) states, "Success in the classroom is not winning students over to our way of thinking; it is engaging in a dialogue about discourse and communication that helps students and us encounter different ideas about culture and resistance through which we can test our own conclusions."

Example 4: "She won them over by explaining her opinion (CIDI)