The incident is said to have happened in December 2017, the first Christmas Meghan spent with the Royal Family at Sandringham. The royals have a number of Christmas traditions including buying each other humorous gifts.
Reflecting their German heritage, they open at least one present each on Christmas Eve.
For Meghan’s first Christmas with the royals in 2017 she reportedly brought the Queen a singing toy hamster.
According to the Daily Star this went down well with the monarch who noted “it can keep my dogs’ company”.
A royal insider revealed: “Meghan bought a little hamster that sings with a little rope for Her Majesty.
“It was so funny, especially when the corgis tried to take hold of the toy.”
However, the paper reports the dogs ended up “mauling it to pieces” before the holiday season was over.
Five months later Meghan and Prince Harry were married at Windsor Castle’s St George’s Chapel.
The service was watched live by hundreds of millions of people around the world.
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She said: “William’s family’s tradition is to open one Christmas present on Christmas eve, which is really lovely.”
The coronavirus pandemic is expected to have a big impact on how the royals celebrate Christmas this year.
For the first time in 33 years the Queen and Duke of Edinburgh won’t spent Christmas at Sandringham, opting instead to remain at Windsor.
A Buckingham Palace spokesman explained: “Having considered all the appropriate advice, the Queen and the Duke of Edinburgh have decided that this year they will spend Christmas quietly in Windsor.”
However, earlier this week the Duke and Duchess of Cambridge admitted they are still unsure of their plans.
Speaking to students in Cardiff William said: “It is so difficult, we are trying to make plans.
“It’s difficult to know what to do for the best.”
Meghan and Harry are expected to spend the second Christmas in a row in California.
The couple celebrated in 2019 with Doria Ragland, Meghan’s mother.
Earlier this year the Duke and Duchess caused a global sensation by stepping down as senior members of the Royal Family.