Sorry, I forgot to mention the age of my daugther, she just turned 10 last Monday, the teacher has not express any concerns, everytime I have the chance to talk to her teacher she always express positive things about my daugther, so that is why I am a bit confused.
You don't say how old she is - is she about 9? When my youngest son (who is now 12) was that age, he didn't like to play in groups AT ALL. He always had kids to play with at recess, and liked to play at home for short periods with ONE friend at a time, and then he needed space. He hated it when groups of 3 or 4 kids would come to the house to play - it was miserable for him, and he'd shut down quickly.
Now, he's 12 and has changed a lot. He has a lot of nice friends, and they call EVERY SINGLE DAY. Usually he wants to get together, but not 100% of the time, but the fact that so many kids want to get together with him so often, makes me realize he is a sweet agreeable friend to them.
Sounds like your daughter is just a little introverted, which isn't a negative thing at all, it's just a personality trait, and it has its positives.
Could you arrange get togethers with just one friend, and have a time limit - like, an hour or two?
Best wishes.
She may get enough socializing at school and doesn't feel the pressing need to play with other kids at home. Have her teachers expressed any concerns?