Being paid for by the other party; indicating that the other side will cover expenses (colloquial, used in payments or arrangements).
今日は向こう持ちだから、遠慮せず好きな物を頼んでいいよ。
Today it's on them, so don't hold back—order whatever you like.
取引先が交通費を向こう持ちにしてくれたので助かった。
The client agreed to cover the travel expenses, which was a help.