A joking Harry asked if anyone had carrots to feed them, and confided that he missed his own horses.
The expectant parents held hands as they pet the animals and met staff at the centre.
On Monday morning, she stepped out in blue jeans, a Breton T-shirt and a khaki anorak, accompanied by Harry in chinos, open shirt and a puffa jacket.
The couple met with chef Moha.
At a later event the couple sampled Moroccan cuisine - which Meghan declared "delicious" - and heard how cooking is being used to help underprivileged children.
Meghan Markle hasn't let her pregnancy slow her down from doing her Duchess duties (not that we expected it to), traveling about England as well as overseas. While Harry looked smart in a navy suit with a brown tie. The 34-year-old duke was seen lifting Meghan's hair out of the necklace as he smiled down at her and rubbed her back.
Meghan, who is now in Morocco with Prince Harry, was treated to a weekend of shopping and pamerping when she caught up with her Hollywood pals in NY last week.
Earlier today, Prince Harry and Meghan Markle visited the Royal Moroccan Equestrian Club Dar Essalam, located in Rabat.
Their three-day visit was created to shine a spotlight on youth empowerment and the education of girls and young women in Morocco.
On Sunday the pair will visit a school in the Atlas mountains aimed at promoting girls' education in rural communities.
Some reports suggest that Prince Harry and Meghan Markle might not want their baby to have a royal title and that they will encourage their child to pursue a career separate to the royal family.
The couple have been meeting inspiring people from across Morocco, including disabled athletes, young leaders and people from local girls' education and sport.