It's not uncommon for our child(ren) to want to be alone. That's okay.
As long as our kids want time to themselves or are content with this we should give them the space they require.
This is not to say you don't try to give them outside insight. In my experience its better to take it at a slow pace and on their terms. Heading to a local playground where other kids may be is a great way to let our kids chose to interact or not. Believe me , they are on some level curious about other kids. Even as they may seem in their own world they hear whats around them. When they are receptive this is where you model and talk to another child asking this other child questions and if inclined introduce your child. Even when our child stays silent or is not sure what to do next we are educating another child about differences and teaching inclusion in its simplest form. Teaching our own child that they are safe and when ready to play you are there to facilitate the process.
Of course there's my daughter who has grown from the quiet moments and wants play-dates now.
School friends have become an important part of her life.
This journey has not been easy. Many times I have asked and been rejected by the parents. I would assume its because of fear and ignorance that they don't want their child with my daughter after school but that's only speculation. (when I ask over and over and get rejected its hard not to feel that way) But I am persistent and we have had some new friends over in the past.
Being aware of how my daughter initiates things and wants to "play" I will have activities ready to help facilitate the process should there be a need.
We've had much success and fun here as she gets into the groove of how to be flexible and allow her friends to also have opinions and ideas. Such a long way we have come.
Play comes in many forms and is so very important for all kids. Its their work and it teaches them so much about themselves and the world around them.
Whatever it may look like for your family and child encourage these moments.
Play with your kids and make memories that will last a life time.