King Charles is said to be worried about how Brits will cope during what is going to be a "difficult winter".
Welsh first minister Mark Drakeford said the impact of the cost-of-living crisis came up in conversation with the new monarch when they met on Friday.
Charles, who assumed the throne on September 8 after the death of Her Majesty The Queen, addressed the nation's Parliament for the first time as sovereign.
Mr Drakeford said one of the main talking points was the cost of living crisis which is set to force millions of Brits into poverty over the coming months.
He told TalkTV : "The King has always had a very direct interest in the things that are happening in contemporary Wales, the future of our agriculture, the impact of climate change.
"He mentioned the impact of the cost-of-living crisis and how that will impact on people here in Wales."
Meanwhile the King was also interested in renewable energy generation in Wales, and how it might play a bigger part in future energy security.
He added that the new monarch is worried about how Brits will cope with the upcoming 'difficult winter'.
The Welsh Labour leader, who says he does not expect miracles from Prince William's new role, added: "He was interested to tell me about some of the projects that he has heard of, or become involved in dealing, for example, with food waste, making sure that we don't waste a precious resource when some people might be going without.
"Interested, as always in renewable energy generation here in Wales, and how it might play a bigger part in future energy security."
Mr Drakeford has suggested the investiture proceedings for William, the new Prince of Wales, need not follow the same form as that of the 1969 ceremony that saw the title bestowed upon his father.
He said: "Well, I certainly don't think that 1969 is a good guide for what should happen in 2022.
"Wales is a very different place.
"The nature of the monarchy has developed over that period. My message is that we shouldn't be in a rush about all of this.
"We should allow the new prince, as I say, to become familiar with his new responsibilities, develop the job in a way that will work for him and will work for Wales.
"And then we can think about how and whether there is a need for any further ceremonial underpinning of what has already been announced."
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