Ailing Danish prince has battled dementia and pneumonia in recent months, and is not expected to live much longer.
Markle, 36, has taken to royal life like a duck to water ahead of her wedding day with Prince Harry on 19 May.
A group meeting is reportedly taking place to discuss who will succeed the Queen, 91, following her death.
The future royal Meghan Markle visited the Grenfell Tower site to comfort victims of the tragedy, the Mirror has reported.
The wedding between Meghan Markle and Prince Harry is due to take place on the same day as the FA Cup final at Wembley Stadium.
Royal is spearheading a campaign to help young people navigate life online and support them in responding to cyberbullying.
Prince Harry's fiancée Meghan Markle allegedly denied knowing her estranged half-brother Tom Markle Jr, calling him 'distant family,' when he asked for help dealing with the media.
Mother of part-time model from Washington DC who looks like royal fiancee asked her: 'Why couldn't Harry have met you first?'
Prince Harry's fiancee one wrote about the romantic day on her lifestyle blog The Tig.
The event was expected to take place on 4 November but the Imperial Household Agency announced that it was being delayed due to lack of preparation.
Before she quit the show, the 'father-daughter' duo shared many private moments and he vowed that he would always be 'her loving fake father'.
Meghan Markle's half-sister Samantha Markle has called on the future royal to support their struggling father financially.
The new video by the pregnant royal kicks off several days of campaigning for Children's Mental Health week.
The flight plans include exact time and routes to be taken by the Queen and the royals and were published by NOTAM, a safety alert system managed by UK's air traffic control body.
Queen's granddaughter to marry former bartender fiancé Jack Brooksbank at St George's Chapel at Windsor Castle.