Prince Harry's girlfriend Meghan Markle spotted bringing groceries back to Kensington Palace in London

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Prince Harry and Meghan Markle's relationship is showing no signs of slowing down.

The 35-year-old actress was snapped bringing back grocery bags to Prince Harry's home in Kensington Palace in London on Thursday, where she's presumably staying. Markle was standing at the gates of Kensington Palace in pictures published by The Daily Mail, carrying two bags from the Whole Foods on Kensington High Street.

The Suits starwas dressed casually in a black coat, leggings, and knee-high rain boots. According to the British tabloid, she was also wearing Harry's brown baseball cap.

WATCH: Meghan Markle and Kate Middleton Wear the Same Dress

Meanwhile, Harry is continuing on with his royal duties. He attended the National Memorial Arboretum in Staffordshire on Friday, joining service men and women to commemorate the day that marks the end of fighting during the World War I.

Dressed in uniform, the 32-year-old royal made a moving reading of Rupert Brooke's poem, The Soldier. The moment was especially personal for Harry, given that he served for 10 years in the British Army.

The Palace confirmed to ET on Wednesday that Markle will not be joining Harry at any of his official events and appearances this month. Harry will embark on a two-week royal tour of the Caribbean starting on Nov. 20, which lasts until Dec. 4.

WATCH: 13 Things to Know About Prince Harry's Girlfriend Meghan Markle

Harry made his first public appearance since confirming his relationship with Markle on Thursday, attending the Field of Remembrance Service at Westminster Abbey in London alongside his grandfather, Prince Philip.

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File photos of Meghan Markle and Prince Harry, as Harry's girlfriend has been subject to a "wave of abuse and harassment" by the media, Kensington Palace has said in a statement.
NEW YORK, NY - JULY 14: Actress Meghan Markle enters the 'Today Show' taping at NBC Rockefeller Center Studios on July 14, 2016 in New York City. (Photo by Ray Tamarra/GC Images)

Prince Harry arrive at the London Eye on World Mental Health Day on October 10, 2016 in London, England.

(Danny Martindale/GC Images)

TORONTO, ON - JUNE 09: Actress Meghan Markle attends Luminato Big Bang Bash 2016 held at the Hearn Generating Station on June 9, 2016 in Toronto, Canada. (Photo by George Pimentel/WireImage)
NOTTINGHAM, ENGLAND - OCTOBER 26: Prince Harry plays rugby with children as part of the Coach Core sporting apprenticeships at National Ice Centre on November 6, 2016 in Nottingham, England. (Photo by Samir Hussein/WireImage)

Meghan Markle attends the Elton John AIDS Foundation's 13th Annual An Enduring Vision Benefit in New York October 28, 2014.

(REUTERS/Andrew Kelly)

LONDON, ENGLAND - OCTOBER 07: Prince Harry takes part in sports activities during a visit to celebrate the expansion of Coach Core at Lord's Cricket Ground on October 7, 2016 in London, England. (Photo by Mark Cuthbert/UK Press via Getty Images)
NEW YORK, NY - APRIL 27: Actress Meghan Markle attends Glamour and L'Oreal Paris Celebrate 2016 College Women Of The Year at NoMad Hotel Rooftop on April 27, 2016 in New York City. (Photo by Nicholas Hunt/Getty Images for Glamour)
Britain's Prince Harry arrives at Lord's cricket ground in London on October 7, 2016, to participate in a Coach Core sports coaching apprenticeship programme event. Prince Harry, Patron, attended an event at Lord's Cricket Club to mark the expansion of the Coach Core sports coaching apprenticeship programme. The Prince met with apprentices, coaches and some of the partners and supporters who are taking the successful programme to 100 partners across the UK by Spring 2017. / AFP / JUSTIN TALLIS (Photo credit should read JUSTIN TALLIS/AFP/Getty Images)
TORONTO, ON - MAY 31: Actress Meghan Markle attends the Instagram Dinner held at the MARS Discovery District on May 31, 2016 in Toronto, Canada. (Photo by George Pimentel/WireImage)

Britain's Prince Harry attends the Metropolitan Police Service Annual Ceremony of Remembrance for colleagues who lost their lives in the line of duty, at the Metropolitan Police Training College in London, Britain October 20, 2016.

(REUTERS/Frank Augstein/Pool)

NEW YORK, NY - JULY 14: Actress Meghan Markle leaves the 'Today Show' taping at NBC Rockefeller Center Studios on July 14, 2016 in New York City. (Photo by Ray Tamarra/GC Images)

Actress Meghan Markle arrives on the red carpet for the MuchMusic Video Awards (MMVAs) in Toronto, June 16, 2013.

(REUTERS/Mark Blinch)

Prince Harry takes part in a training session during a celebration for the expansion of Coach Core at Lord's Cricket Ground on October 7, 2016 in London, England.

(Ben A. Pruchnie/Getty Images)

TORONTO, ON - APRIL 28: Actress Meghan Markle attends the Roland Mouret private dinner at Corkin Gallery on April 28, 2016 in Toronto, Canada. (Photo by GP Images/WireImage)

Actress Meghan Markle attends the USA Network and The Moth's Characters Unite Event at the Pacific Design Center in West Hollywood, California February 15, 2012.

(REUTERS/Phil McCarten)

Britain's Prince Harry arrives for the Sentebale Royal Salute Polo Cup in Wellington, Florida, U.S., May 4, 2016.

(REUTERS/Carlo Allegri)

Meghan Markle arrives at the NBCUniversal New York Summer Press Day event at The Four Seasons Hotel on Wednesday, June 24, 2015, in New York.

(Photo by Charles Sykes/Invision/AP)

Actress Meghan Markle participates in AOL's BUILD Speaker Series to discuss her role on the television show, "Suits", at AOL Studios on Thursday, March 17, 2016, in New York.

(Evan Agostini/Invision/AP)

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