2013/2014 season Davies made a dream start to the season as in his first match he defeated world number four
Shaun Murphy 5–1 to qualify for the
2013 Wuxi Classic in
China where he lost 5–2 to
Joel Walker in the first round. He also qualified for the
Indian Open,
International Championship and
World Open, but lost in the first round of each. He finished his first year on the main snooker tour ranked world number 96.
2014/2015 season Davies recorded wins over
Mitchell Mann,
Peter Lines and
Anthony McGill in the qualifying rounds of the
Shanghai Masters, but was then beaten 5–2 by
Liang Wenbo in the final round. He lost 6–4 to
Aditya Mehta and 4–0 to
Mark Selby in the opening round of the
UK Championship and
Welsh Open. Davies defeated
Tom Ford 5–3 to reach the
China Open, but was thrashed 5–0 by
Zhao Xintong in the wildcard round. He could not pick up any wins on the
European Tour until the last two events where a pair of last 32 exits saw him finish 72nd on the Order of Merit. Davies dropped off the tour at the end of the season as, at 76th in the world rankings, he is outside the top 64. Davies entered
2015 Q School in a bid to regain his place and came within two matches of doing so in the first event, but lost 4–1 to
Leo Fernandez. In the second event, Davies was eliminated 4–1 by
Duane Jones in the opening round. In the second event of 2017 Q School he stood one win away from regaining a spot back on the tour, but was beaten 4–2 by
Duane Jones. ==Performance and rankings timeline==