Ms Robbie, 30, is known for prominent roles in blockbuster films such as The Wolf of Wall Street and Suicide Squad. In an interview with New! magazine, the Australian actress said she had met Prince Harry, 35, at parties in the past.
She said: “Whenever I met Harry in London at parties, he always seemed a lot of fun, so it would be great to have them both over.”
Ms Robbie said she had not hosted the royal couple for dinner before, but said she “would, for sure.”
She added she had not yet met Meghan Markle, 39, but said “it would be cool to hang out.”
The Once Upon a Time in Hollywood star also gave some advice to Harry and Meghan, who relocated to Los Angeles earlier this year amid their decision to step down as senior members of the Royal Family.
She advised the Sussexes to “give it time,” adding that she herself had moved to a different country twice.
Ms Robbie described the experience as “not easy,” but said “LA has a lot to offer.”
Harry and Meghan no longer live in Los Angeles as, according to reports, the couple moved to the nearby coastal city of Santa Barbara having purchased a home there this summer.
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If Harry and Meghan do visit Ms Robbie’s home, it will not be their first brush with celebrity.
When the couple first moved to Los Angeles this year, they stayed at a large house owned by US actor Tyler Perry.
They are also reported to be close to US television talk show host Oprah Winfrey, who in January said she “1,000 percent” supported their decision to step back from royal duties.
Ms Winfrey is also said to be a close neighbour to the Duke and Duchess in their new Santa Barbara home.
Meghan Markle has also met former First Lady of the United States Michelle Obama.
The two met after Markle attended a speech the former First Lady was hosting in London.
Markle also interviewed Michelle Obama, wife of former US president Barack Obama, for her guest-edited edition of British vogue, according to Hello Magazine.
Recently, Markle has been speaking out to encourage US citizens to vote in the upcoming presidential elections due to take place in November.
Prince Harry, however, is expected to step back from the matter, since the Royal Family are traditionally supposed to be politically neutral.
