Glover began the 2015/2016 season positively, with a 5–0 victory over promising amateur Ross Higgins in the Australian Open, but lost in the next qualifying round 3–5 to Kyren Wilson. He overcame another amateur, Xu Yuan, in the Haining Open, but followed this 4–2 win with a loss to Thanawat Thirapongpaiboon in the last 64. At the UK Championship, he led Jamie Jones 4–3, but could not prevent a 4–6 defeat; his 2016 German Masters qualifying campaign ended similarly, Glover taking the first frame but losing 1–5 to the resurgent John Higgins.