Ginger Spice reportedly believes that six-year-old Maddox, Pax, three, Zahara, two, and Shiloh, one, are the ideal companions for 18-month-old Bluebell.
A source told the Mirror: "Geri dotes on Bluebell and only wants the very best for her. She has sent personal invites to Angelina.
"She thinks she is an amazing mum, and believes it would be lovely for Bluebell to meet her children."
She added: "She has a lot of respect for [Angelina], as a fellow UN Ambassador and for the charity work she does."
Halliwell is also thought to have invited Nicole Kidman and tennis star Roger Federer to watch the Spice Girls in action.