Feeling remorse for his comments, Minson left an apologetic message for Cornes after the game.
Cornes is understood to have contacted Bulldogs' football operations manager yesterday to accept the apology without taking the matter any further.
Cornes was a late arrival to Darwin after the delivery of his second second son. It is believed Minson's sledge was directed at Cornes' first son who is suffering from a heart condition.
"We've spoken to Will and he was remorseful about saying anything and has tried to make contact with Kane. Subsequently, I have spoken to Kane as well, and the Port Adelaide Football Club and they were accepting of his apology and we're keen just to get on with it," Fantasia said.
Kane Cornes confirms his acceptance of Minson's apology.
"I've been really happy with the way both clubs have handled it and I've accepted Will's apology. I'm just looking forward to moving on and putting it all behind me," Cornes said.