The Sabres have picked first overall twice previously taking Pierre Turgeon in 1987 and selecting Gilbert Perreault in 1970.
"At three you get a player [from the draft] that's probably going to play sooner than later", Bergevin told reporters Saturday, adding that the Canadiens haven't decided whether to deal the No. 3 pick to another team or keep it for themselves.
In 2014 and 2015 the Sabres drafted second overall despite having the best odds at securing the top pick in the draft. The Sabres became the first team to finish 31st in the standings following the addition of the expansion Vegas Golden Knights.
A franchise which became the NHL's first to finish 31st in the standings following this year's addition of the expansion Vegas Golden Knights came away a victor in the draft lottery held in Toronto on Saturday night. "You felt in the building, a lot of quietness coming into the games, but whenever we did something they wanted to cheer, they wanted to be supportive".
The Carolina Hurricanes landed the No. 2 pick in making the biggest jump in the order by moving up from the 11th spot. Carolina got the second pick and Montreal got the third pick.
The Hurricanes and Canadiens moved ahead of Ottawa and Arizona.
The draft takes place June 22-23 in Dallas.
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This year's top player is 18-year-old Swedish defenseman Rasmus Dahlin. Russian forward Andrei Svechnikov is the top-ranked North American prospect after playing for Barrie of the Ontario Hockey League.
Due to the way the draft lottery works, Vancouver would've either been pulled to pick ninth, eighth, seventh, or in the top three.
Buffalo became just the eighth last-place finishing team to retain the first pick by winning the lottery since it was introduced by the National Hockey League in 1995.
The Canadiens entered the NHL Draft Lottery in the No. 4 position.
Vying for the top pick in the draft is nothing new to Buffalo.
The New York Rangers moved down from the No. 8 selection to No. 9 while the New York Islanders, the owner of two first-round picks after acquiring a first rounder from Calgary in exchange for Travis Hamonic a year ago, will pick 11th and 12th.