The couple were snapped not long after they announced a new partnership between charitable foundation Archewell and World Central Kitchen.
World Central Kitchen is a not-for-profit devoted to providing meals in the wake of natural disasters, founded in 2010 by celebrity chef José Andrés.
Harry and Meghan also announced the launch of their podcast, Archewell Audio, last week.
In the trailer, they revealed plans for their first episode: a Christmas special.
Meghan said: “One of the things my husband and I have always talked about is our passion for meeting people and hearing their stories.
“And no matter what the story, they usually offer you an understanding of where someone else is coming from and at the same time remind you in some way of a story about yourself.”
Harry added: “And that’s what this project is all about, to bring forward different perspectives and voices that perhaps you haven’t heard before and find our common ground.
“When that happens, change really is possible.”
Meghan then added: “And, you know, this is also a moment to celebrate kindness and compassion, something we saw in so many places this year, and which will underlie everything you hear from Archewell Audio.
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The first of the four centers, due to open in 2021, is being built in Dominica, the Caribbean, an island hit by hurricanes Maria and Irma in 2017.
Earlier in the year, the couple also signed a deal with streaming giant Netflix to produce a range of programmes.
On Sunday, Meghan appeared on the CNN’s annual Heroes TV special as she honoured those who have supported others during the coronavirus pandemic.
She praised the “power of human spirit” and the “remarkable” response of communities during challenging times.
Meghan said: “We saw the good in people, in our neighbours and in entire communities coming together to say they would not stand by while our neighbours went hungry.”
Prince Harry has been sending lots of Christmas gifts to his brother William and the Cambridges, according to an expert.
Katie Nicholl told True Royalty TV’s The Royal Beat: “I think relations are better between them.
“I know they are in touch, they do talk.
“Harry has sent over loads of Christmas presents for the Cambridge children.
“They will Zoom, they will chat over the holidays.
“There is contact, there is friendly contact.”