Co-host Susanna Reid said: "You still can't let it go, can you Piers? The fact she left the pub that day and never spoke to you ever again."
He denied that was the case. "It's a red light when people behave like that, in an odd manner...the axe came down, as it did with the dad, axed - everyone of her family... worrying..."
Some twitter users thought his comments were funny, but most praised Meghan for ignoring him.
"I don't blame Megan ignoring her family. After seeing the way they have all behaved I would too. As for ignoring Piers, I feel for anyone who comes in to contact with him," one said.
Another wrote: "As much as I hate @piersmorgan he is tv gold. His comments about Megan Kardashian Markle were hilarious."
Meghan fans would have been pleased to see Morgan got a pie in the face in a later, unrelated segment, on the show.
Meanwhile, the Duchess of Sussex is hardly likely to worry about Morgan given the reaction she and Harry are getting wherever they go in Australia.
In Dubbo, Prince Harry spoke to the crowd about the need for a community to stick together.
"You must not silently suffer and, if I may speak personally, we are all in this together, because asking for help was one of the best decisions I ever made."
"I just think that it's lovely that they got off the beaten track and came out to Dubbo to speak with people affected by the drought," Warren farmer Audrey Weston told AAP.
"He offered to stay for two weeks so we could have some more of the rain."
Their first official engagement in Dubbo was at the dedication of a new plane for the Royal Flying Doctor Service.
They ended the day with a visit to the Dubbo College Senior Campus. School captain Grace Gower said they felt privileged they chose their school to visit, and were also grateful they brought the rain.
