make someone's acquaintance
https://gyazo.com/b99993bcbe2dfdc86a7b08b75ef31079
⦅かたく⦆ A〈人〉と知り合いになる
e.g. they are anxious to make your acquaintance.
I'm delighted [glad, pleased] to make your acquaintance.: お目にかかれてうれしく存じます (!... to meet you. と違いへりくだった表現で, 目上の人に使う)