I feel like we are past the age of parent arranged play dates after school but before they can ask to go to town in pairs or groups!
DD is in Y5, she has 4 or 5 good friends, 3 or 4 are boys, and she sees one or two of these at a junior church youth group (games, snacks and payers I think!) and maybe one at Cubs which is not the closest pack.
She never really asks to do things with these or other friends outside school, and her friends don't really ask her either. Her one female friend has suspected ASD and I think is very exhausted out of school.
She's very popular though and lots come to her parties though she hasn't been to one this school year, maybe they are all smaller parties now?
I'm also quite reluctant to have her friends over (DS has SEN and would muscle in if they were in the house). We can take her out with her friends but she hasn't asked in ages - would this be how your 9 year old would socialise?
She has no phone or social media yet though she has her own email!