Min repeated his 2018 win in the Ladbrokes Dublin Chase but the race was marred by a serious injury sustained by Special Tiara.
The former champion chaser was pulled up quickly during the early stages and Castlegrace Paddy took a heavy fall leaving just three heading out for the final circuit.
Saint Calvados blazed a trail at the head of affairs but the 4/9 favourite always had him covered and when they jumped the last it was clear he had his measure.
There was still two-and-a-half furlongs to run from there but Ruby Walsh barely moved a muscle to beat Ordinary World (12/1), who came through for second, by six lengths.
Sky Bet cut the winner to 5/1 for the Betway Queen Mother Champion Chase. Racing PR Manager Michael Shinners said: "Clearly Altior casts a long shadow over the race but it might not be the biggest field and Min would have every chance of hitting the frame."