marriage proposal; marriage talks
Refers to a formal discussion or offer of marriage, often in the context of arranged meetings (お見合い). Can be used for both the proposal itself and the ongoing negotiations between families.
A marriage proposal has come up for her.
Marriage talks are progressing between the two families.
She's had a marriage proposal pending since last year.
The two families decided to move forward with the marriage talks.
The matchmaker successfully brought the marriage arrangement to completion.
She turned down the marriage proposal.
A marriage proposal was brought to her by relatives.