idiom · to visit someone multiple times to demonstrate sincerity, specifically referring to the historical/literary allusion of Liu Bei recruiting Zhuge Liang

刘备三顾茅庐的诚意最终打动了诸葛亮。

to make sincere and repeated requests of someone to accept an invitation or position

为了邀请这位老教授加盟，校长曾多次三顾茅庐。