Davison almost qualified for the 2012 International Championship, the fourth ranking event of the 2012/2013 season. He saw off Fraser Patrick, Peter Lines and Ben Woollaston, but then lost 3–6 to Dominic Dale in the final round.&lt;ref name="2012/13"&gt;&lt;/ref&gt; Davison had a consistent year in the minor-ranking Players Tour Championship Events, with his best result coming in the third European Tour Event, where he beat Ricky Norris, Joel Walker and Chris Norbury, before losing to world number one Mark Selby 3–4 in the last 16. He reached the last 32 on two other occasions which helped Davison finish 48th on the PTC Order of Merit. Davison's season ended when he lost 7–10 to Alfie Burden in the second round of World Championship Qualifying, which saw him end the year ranked world number 75.