The royal is said to be moving into her cousin's former home in Windsor as she and husband Jack Brooksbank prepare for their new baby.
Harry first met the new president-elect and his wife in 2013, when he was on royal tour in the USA.
Meghan and her husband Prince Harry have been campaigning to encourage people in the US to vote, but have not publicly supported a specific candidate.
Harry and Meghan hosted talks about how the digital landscape can be improved for TIME 100.
The Duchess of Sussex says she tries not to say anything controversial as she's cautious of putting her family at risk.
The website, which suggests Meghan Markle is running in the 2020 election, tells people to add her name to their ballot papers.
A brand expert tells Yahoo UK the duke and duchess wading into US politics is risky in the states, but not internationally.
Royal papers show the cost of travel for engagements and includes £210,000 for two days of Charles's travel.