"The matchmaking ceremony" sounds good.You know it's a really hard question to make a synonym for any other language or culture's custom.
Before getting married our traditional custom is like this:
The boy's family (parents) go to the girl's home and ask them and eat sweets and drink tea from the girl's hand.
This ceremony is called 'KHASTEGARI' in our language but I think there may not be a synonym for that in English but some times you have to refer to them with some words.
I think the words 'the matchmaking meeting' or 'the matchmaking ceremony' are my best options. What do you say?