Beatrice, 32, and Wolfie, four, went shopping in a Waitrose store in London over the weekend. Mr Mapelli Mozzi, 37, known as Edo, waited in the car for the pair.
Beatrice cut a casual but stylish figure for the outing, dressing in a denim shirt teamed with a white skirt.
She wore her golden hair down and accessorised with a velvet headband.
The Queen’s granddaughter made sure to follow coronavirus rules with a disposable face mask.
Mr Mapelli Mozzi was behind the wheel of the Range Rover.
The pair wed at the Royal Chapel of All Saints at Royal Lodge in Windsor.
The couple had planned to marry on May 29 in the Chapel Royal at St James’s Palace.
But they were forced to postpone their big day due to the coronavirus crisis.
In an unusual move, their nuptials were not announced in advance, the ceremony was held in private and pictures of the event were not immediately released.
In a statement, Buckingham Palace said: “The couple decided to hold a small private ceremony with their parents and siblings following the postponement of their wedding in May.
“Working within Government guidelines, the service was in keeping with the unique circumstances while enabling them to celebrate their wedding with their closest family.”
The Queen and Prince Philip were among guests at the low-key wedding.
The Duke of York, who stepped back from royal duties after his disastrous Newsnight interview about his relationship with Jeffrey Epstein, walked his daughter down the aisle.
Father-of-one Mr Mapelli Mozzi’s son Wolfie was best man and pageboy.
The bride stunned in a vintage dress and glittering tiara – both borrowed from the monarch.
A series of stunning pictures from the royal wedding were released by Buckingham Palace.