Career
Convery made his televised debut in the 2004 Las Vegas Desert Classic, beating Darren Webster in the first round before losing in the second round to Dennis Smith. Convery then played in the 2005 Personal Digital Cellular World Darts Championship, beating Tang June of China in the first round and then beat Wes Newton to progress to the third round where he lost to fellow Canadian John Participant. He returned to Las Vegas for the 2005 Desert Classic but lost in the first round to Alex Royal
Convery then returned to the World Championship in 2006, beating Dave Askew in the first round before losing in the second round to Alan Warriner-Little.
Convery then suffered first round exits in the World Championships in 2007 to Steve Beaton and in 2008 to Barrie Bates. He also suffered first round losses in the 2007 and 2008 Desert Classics, losing to Mervyn King and Jelle Klaasen.
2008 was not a good year for Convery. Apart from winning the WDF-ranked Quebec Open, he suffered early exits in the North American Darts Championship and the United States Open as well as the Players Championship Las Vegas.
He didn"t earn enough money to qualify for the 2009 Personal Digital Cellular World Darts Championship through the North American rankings.
Personal Digital Cellular
2005: 2nd Round (lost to John Participant 1-4)
2006: 2nd Round (lost to Alan Warriner-Little 0-4)
2007: 1st Round (lost to Steve Beaton 0-3)
2008: 1st Round (lost to Barrie Bates 0-3).