The animal-loving duchess reportedly "doesn't like" hunting so husband Harry decided to quit the hobby.
A hunter reportedly bought a pair of the Purdey firearms five months ago, before the royal couple stepped down as senior members of the Royal Family, reports The Sun.
Meghan Markle is opposed to blood sports and even follows a vegan diet during the week – despite Harry partaking in the sport since he was a child.
A friend of the anonymous buyer said: "He bought them because he wanted them, not because they belonged to Harry, but he was quite chuffed when he found out.
"They are beautiful examples and he’s very pleased with them but he’s not the sort of person who wants to boast about the royal connection," according to The Sun.
Both Harry and brother William have been criticised in the past for their hunting habits, which they have maintained despite their extensive wildlife campaigning.
Last month, 86-year-old primatologist Dr Jane Goodall, a friend of Harry's, told the Radio Times she thinks the Duke will give up hunting.
She said Harry and William were champions of the natural world “except they hunt and shoot”.
Goodall said: “But I think Harry will stop because Meghan doesn’t like hunting, so I suspect that is over for him.”
Harry and William have regularly taken part in Boxing Day shoots at the Queen's Sandringham estate in Norfolk, which has led to criticism of the brothers.
A photo of Harry crouched over the body of a water buffalo he had shot dead during a hunting trip on his gap year in South America in 2004 emerged publicly ten years later.
This week it was revealed, the couple, who are now residing in the US is launching a new biography named Finding Freedom, which vows to unveil new details about the Duke and Duchess of Sussex following their dramatic royal exit.