The case is focused on the newspaper’s publication of a letter the Duchess of Sussex wrote to her estranged father, Thomas Markle.
In a ruling on Friday, Mr Justice Warby struck out parts of the duchess’s claim against the Mail on Sunday’s publisher, Associated Newspapers, including allegations that it acted “dishonestly” by leaving out certain passages of the letter.
The judge also struck out allegations that the publisher deliberately “stirred up” issues between Meghan and her father, and that it had an “agenda” of publishing intrusive or offensive stories about her.
Mr Justice Warby said those allegations should not form part of her case at this stage, because they were “irrelevant” to her claim for misuse of private information, copyright infringement and breach of the Data Protection Act.
However, he said those parts of her case may be revived at a later stage, if they are put on a proper legal basis.