William’s younger brother is believed to have met the ‘Suits’ star when he was in her home city of Toronto to promote the Invictus Games for disabled Servicemen.
A source tells the Sunday Express: “He’s happier than he’s been for many years.
A snoop thought Meghan’s Instagram reveals that she has visited London a number of times in recent months, and the Sunday Express notes that these trips have apparently coincided with Harry’s time in the city.
It’s also thought she’s already met the Duke and Duchess of Cambridge.
Prince Harry has had not gone public with a relationship since his split from Cressida Bonas, though he has been linked to stars including Caroline Flack and Ellie Goulding.
In May, it was reported that he had been spotted getting cosy with Ellie at a Polo event, though their rumoured relationship never got serious.
Neither Prince Harry or Meghan is yet to comment on the latest reports.