S.H.
Kids that age, cannot be relied on to be messengers.
MANY times, my daughter would say that so and so invited her to their house. Well, the MOM never asked me. The kid just said so. Many times I then ask the Mom, and she says her child never even told her that.
IF I feel comfortable with a Mom and their child, then "I" will suggest a get together. I then give the MOM the phone number etc. I put it in a sealed envelope for the child to take home.
I initiate things.
I don't wait for who makes the first move.
Also, some parents clearly TELL their kids, NOT to give out their phone numbers to others at school. Because, you never know, what happens or who gets the phone numbers.
I tell my daughter, ONLY give it to people I know.
For example.