A royal insider told the Evening Standard that, last Thursday, the pair arrived at the palace a little after 5 p.m.in a auto with blacked out windows and spent a little over an hour with Harry's gran.
According to an insider the couple arrived in time for tea at around 5pm.
The pair allegedly joined the Queen for her daily afternoon tea, her "favourite part of the day", when she usually sit downs to enjoy a variety of sandwiches and a selection of her favourite cakes.
However, there were also rumors that she and the queen actually met at Balmoral. He has already introduced Meghan to his father, Charles, Prince of Wales, and Camilla, Duchess of Cornwall, both of whom are said to have been impressed with the American actress.
She seemed eager to keep a low profile, shielding her face with her raven tresses. He is said to want to tie the knot at St. George's chapel in Windsor in a more private ceremony than his brother's 2011 wedding.
The trio had tea together and it was thought to have happened last Thursday, which will no doubt prompt royal watchers into thinking an engagement is imminent.
The British royal and his Suits star girlfriend have been at the centre of claims they will soon announce an engagement for the past few months.
Kay says that the fifth-in-line to the throne "desperately wanted his grandmother to meet divorcee Meghan" after over a year of dating and flying between Toronto, Canada, where Markle lives, and his apartment in Kensington Palace, where the actress often stays.
In fact, if everything went well with the Queen - which, come on, it had to have - it wouldn't be surprising to see another royal engagement before the year is over.
Meanwhile, Meghan, who has told studio bosses she wont be making another season of Suits, is preparing to spend more time in the United Kingdom, no doubt making plans for a rumored new apartment at Kensington Palace.