In a separate event on Wednesday, Prince Harry joined players from an Australian Rules football team for a lesson in how to play a game and visited the Australian War Memorial in Canberra.
The couple have more scheduled engagements in Melbourne on Thursday before traveling to Sydney.
On Tuesday, the duo visited the Royal Children’s Hospital in Melbourne where hundreds had gathered at the foyer to catch a glimpse of the couple.
Meghan also visited a women’s refuge in Melbourne, where she served plates of frittata to people at the centre.
Prince Harry is due to give a keynote speech at the InterEdge Psychosocial Safety Summit in Melbourne later this week, where tickets to attend cost from around A$1,000 ($713; £526) up to A$2,400. All ticket proceeds will go to the charity Lifeline.
The BBC has asked organisers whether the duke is receiving a fee.
On Saturday, the Duchess will hold an “in-person conversation” at a women’s only weekend retreat in Sydney.
Guests are paying up to A$3,199 to attend a “girls’ weekend”, with a VIP package including the opportunity to get a group table photograph with Meghan.
It is not known what the duchess will be paid for her involvement in the event, which has not sold out and is still advertising a “handful of additional rooms”.