By coincidence or not, Chateau Picard is a real wine label, although it is made in Saint Estèphe.
The bottle of Chateau Picard is seen in the DS9 Season 1 DVD special feature "Secrets of Quark's Bar" presented by Penny Juday, although the prop was not used in Star Trek: Deep Space Nine but in Star Trek: Nemesis.
Two Chateau Picard wine bottles were sold as Lot #27 in the 40 Years of Star Trek: The Collection auction. The winner paid US$6,600, even though the pre-sale estimate was 500 to 700 dollars. After the sale, the auctioneer remarked "That's probably a record for empty wine bottles."
Chateau Picard is mentioned in the novel The Rise and Fall of Khan Noonien Singh, Volume Two as being the wine of choice of Jeff Carlson in 1996.
The 2012 Star Trek: Starfleet Academy novel "The Assassination Game", set in the alternate reality, mentions a bottle of Chateau Picard being served by James T. Kirk to Leonard McCoy and his date Nadja Luther (β). Upon reading the label, Kirk remarks, "Chateau Picard. Never heard of it."