Stevens enjoyed a solid 2009–10 season. He qualified for the Welsh Open by beating Barry Pinches 5–4. In the first round, he caused an upset by defeating Shaun Murphy 5–4. He then faced Northern Ireland's Mark Allen in the second round but, despite making two century breaks, he lost the match 2–5. He also lost a close match 9–10 to Marcus Campbell in the 2010 World Championship qualifiers, and thus did not make it to the main draw at The Crucible for the second year in succession.