Pippa cozied up in a pale blue coat and white frock.
She paired her look with a pair of white sneakers and large cream scarf.
Pippa added a pair of statement heart-shape necklaces to her look to.
The couple announced their new sons name earlier this week, Arthur Michael William Matthews.
According to The Mail on Sunday, the new parents have named their son after various family members, including Prince Charles, Prince William and Prince Louis - who all share the middle name Authur.
The name also reportedly pays tribute to James' late brother Michael, who disappeared in 1999 while attempting to climb Mount Everest aged just 22.
Michael is also the name of Pippa's father and it appears William is a nod to Pippa's brother-in-law Prince William.
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