The Duchess remained at the luxury resort where she and Harry are staying on the island, while the prince travelled into the rainforest.
"I was filled with love, joy, and happiness for both my lovely daughter and my son-in-law", he added.
Meghan Markle is set to cut back on attending events for the remainder of her royal trip with Prince Harry, as her pregnancy began to "take a toll" on her.
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Laughing, the Duke of Sussex replied: "So do I!", The Mirror reported. A source told MailOnline that it wasn't that Meghan - who's now pregnant with the couple's first child together - was feeling sick, rather they're trying to "pace" her given how many engagements she has coming up.
According to several royal correspondents, Meghan is "feeling fine" but her team are trying to "pace things for her".
The Duchess says being pregnant is like having "jet lag".. She said that she has been up since 4:30 a.m., which was quite early for her and Prince Harry's 8:30 a.m. engagement.
Recently, Prince Harry flew solo while attending a number of events at this year's Invictus Games in Sydney, after the pregnant Duchess made a decision to cut back on some of the tour's many engagements out of caution for her health, according to multiple reports.
"I think this is a new phase in every woman's life", she further added, "and I hope hers is as wonderful as she wants it to be".