[2] Largely used as a substitute under Brewster, Conway started the majority of matches under Craig Levein and assisted more goals than any other United player in 2006–07.

[7] On 15 May 2010, Conway scored two goals in a man of the match performance as United beat Ross County 3–0 in the 2010 Scottish Cup Final.

In April 2011, United manager Peter Houston indicated that he expected Conway to leave the club at the end of the season, due to the Terrors being unable to match his wage demands.

In April 2012, Conway was selected for the match against Watford, but was taken off with 32 minutes played following a tackle made by Jonathan Hogg, which resulted in an ankle injury and ended his season, four games early.

Following a lack of first team football during the season, Conway put in a transfer request on 23 November 2012 after starting only two games out of his four total appearances.

His first goal of the season came on 2 December, where he scored the winner against Sheffield Wednesday, which ensured Cardiff beat their Club record of nine successive home wins.

Following a run of successful performances, Conway withdrew his transfer request on 21 December,[16] and went on to play a crucial role in Cardiff's Championship-winning season, including scoring the goal that sealed the title in a 1–1 draw at Turf Moor against Burnley in April.

On 13 September 2013, Conway joined Championship side Brighton & Hove Albion on a 93-day short-term loan, running until 14 December 2013.

[18] On 31 January 2014, Transfer Deadline Day, Conway joined Championship side Blackburn Rovers on a 2+1⁄2-year deal.

[29] He made his début against Walsall, providing the assist for Luke Armstrong to open the scoring in a 3–0 triumph as Salford won away for the first time in the English Football League.

[36] Conway made his international debut under George Burley on 10 October 2009 against Japan, he started the game but Scotland lost 2–0.