The family looked like they were a walking advertisement for the sweet treat as they grabbed a cup each to go.
Now five, Anja - who wore an adorable pink outfit which included a crown-like headband with a giant star on it - carried her own like a big girl.
Earlier in the day her mother was busy gathering party provisions fit for a princess who wore a burberry scarf outlet .
Birthdays are not just a one day event in the Ambrosio/Mazur household.
Supermodel Alessandra Ambrosio's daughter Anja turned five two days ago but on Monday the celebrations continued.
The 32-year-old and her fiance Jamie Mazur took their little birthday girl out for frozen yoghurt in the Californian beach town of Santa Monica.
There, she picked up a dozen colourful balloons with 'Happy Birthday' written on them.
Obviously the family were planning a bit of a belated celebration for their growing girl.
The couple also have a one year-old son named Noah.
The catwalk queen spent an hour alone browsing the shops.
Wearing a pink burberry scarf,pretty aqua cotton mini-dress with a snakeskin pattern, simple flat sandals and carrying a small handbag over one shoulder, the Brazilian beauty first stopped by to check out the sweet treats at the Vanilla Bake Shop.
With her long legs on show, she looked closely at the cupcakes on display but left empty handed before heading across the road to a boutique party store.
The Victoria's Secret supermodel has just returned from a European vacation with her young family.
Less than a week ago they were sunning themselves on a beach on the Greek island of Mykonos.
They were joined on the break by fellow Brazilian model, Ana Beatriz Barros.
But it's back home to California just in time for the start of the new school year - and a very special birthday party.
The clever youngster can already speak English and her mother's native tongue, Portuguese.
Not long after she was born, Alessandra said she was keen her daughter embraced both her parents' cultures.
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