Palace aides are now considering a "more aggressive" strategy towards Thomas Markle following his latest public outbursts, sources say.
Insiders have suggested Kensington Palace is "re-evaluating its options" when it comes to stopping the stream of comments made by Meghan's father.
According to the Daily Mail, it comes after Mr Markle, 74, admitted he may never see his daughter again after a series of explosive interviews since the royal wedding.
Meghan, 37, is said to be "hurt" by her father's actions, and is not believed to have spoken to him since her wedding in May.
A source told Entertainment Tonight the Palace is considering its options when it comes to both Mr Markle and Meghan's half-sister Samantha, who is set to appear in the new series of Celebrity Big Brother.