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.

For more on Harry's secret visit to Meghan in Toronto -- where she films Suits -- late last month, watch below!

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