2006-07: Steve Quailer played for the Rocky Mountain Wrangler midget team in Colorado. He was selected by the Waterloo Black Hawks in the 2007 USHL Entry Draft with the 18th overall pick.
2007-08: The Sioux City Musketeers (USHL) gained a forward in Quailer this season. In 60 games he scored 19 goals and 49 points (T-1st), racking up 55 penalty minutes in the process. His plus-16 was among the best on Sioux City, and he was named the Sioux City MVP and Rookie of the Year. He was also nominated to the USHL All-Rookie Team and competed in the USHL All-Star game. Quailer was chosen in the third round, 86th overall, of the 2008 NHL Draft by the Montreal Canadiens.
2008-09: This was Quailer's rookie season with Northeastern University (H-East). In 41 games he netted 10 goals (third on team) and 25 points (fourth on team). He was the Huskies’ Rookie of the Year and nominated to the H-East All-Rookie squad. He shares the ice with fellow Sioux City alum Alex Tuckerman.
2009-10: A knee injury held Quailer out for the entire season.
2010-11: Quailer returned to the Northeastern University lineup as a junior after missing the previous season with a leg injury and provided a physical presence up front for the Huskies. Quailer scored 3 goals with 19 assists and was +1 with 39 PMs in 38 games. Northeastern finished with a sub .500 record but was sixth in the tightly-packed Hockey East conference and knocked off Boston University in a three-game quarterfinal series before falling to Boston College in a semifinal contest.
2011-12: Quailer put in a solid junior year at Northeastern University despite missing the month of February with a sprained ACL to the same knee that forced the big winger to miss a whole year of NCAA play in 2009-10. He scored eight goals (four on the power play and one shorthanded) along with 17 assists and a plus seven rating in 26 NCAA games. The physical forward played at a point per game level this year and was signed to an NHL entry level contract on June 14, 2012 with the Montreal Canadiens.
2012-13: Quailer skated for Montreal's AHL affiliate in Hamilton in his first pro season. In 64 games he scored 6 goals with 4 assists and was -7 with 54 penalty minutes. The Bulldogs missed the AHL playoffs after finishing last in the North Division.
Quailer brings leadership, character, and energy along with his physicality and strong play in the corners while making time and space for him and his line mates. The big winger has to stay healthy and show he can develop into a power forward but will need to drive the opposition's net front on a more consistent basis. He projects as a bottom-six forward at the NHL level if his development continues upward over the next few seasons.
Quailer should play again at the AHL level in Hamilton this coming season but will have competition to stay in the starting line-up. He has to produce more offense while providing a physical presence for his linemates. It's a big year in his development and the final year of his NHL entry level contract.
Quailer was dealt by the Montreal Canadiens to the Los Angeles Kings in exchange for Robert Czarnik in February of 2014.