His poker career peaked in 2005 with an Irish Open title and a number of cash finishes.
[2] In October 2004, Falconer finished runner-up to John Shipley in the European Poker Tour (EPT) first season London event, winning £117,000.
In March 2005, Falconer won the PaddyPowerPoker Irish Poker Open event, defeating Alan Betson to take home the €146,000 first prize.
[4] Later the same month, Falconer made the semi-finals of the World Heads-Up Poker Championship, losing to Simon Nowab.
Falconer also finished in the money of the 2005 World Series of Poker $10,000 no limit hold'em main event.