There is a £50,000 cheque on offer for the champion at the Marshall Arena.
Five victories are still required in order to determine the 2021 Snooker Shoot Out winner on Sunday in Milton Keynes.
A busy final day of action will see the 32 remaining competitors bid to emerge victoriously with the ranking event title.
There are five top-16 members hoping to become the first from the elite bracket to triumph in the unpredictable speed-king tournament that has been running since 2011.
Mark Selby takes on Liam Highfield in the third round, with fellow Marks Allen and Williams set to face David Grace and Xiao Guodong respectively.
David Gilbert, who will battle Liang Wenbo, and 2019 Snooker Shoot Out winner Thepchaiya Un-Nooh are also still in with a shot of glory.
The latter entertains the unheralded Hamim Hussain in his third match of this year’s random draw – one of six amateur top-ups among the remaining contenders.
Defending champion Michael Holt bowed out on Saturday, meanwhile, with a 52-21 second-round defeat to Matthew Stevens.
Stevens encounters Robert Milkins with a berth in the last 16 at stake, and there are several other interesting fixtures including Noppon Saengkham’s duel with veteran Ken Doherty.
Michael White, the champion six years ago, faces Louis Heathcote while 2013 Snooker Shoot Out winner Martin Gould takes on last year’s runner-up Zhou Yuelong.
As usual, a mixture of form and luck will be needed in order to be the last man standing come Sunday night.
Last 32 Draw
(Matches begin at 1pm in Milton Keynes)
Matthew Stevens vs Robert Milkins
Noppon Saengkham vs Ken Doherty
Michael White (a) vs Louis Heathcote
Haydon Pinhey (a) vs Lyu Haotian
Hamim Hussain (a) vs Thepchaiya Un-Nooh
Joe Perry vs Gerard Greene
Ian Martin (a) vs Sunny Akani
Ryan Day vs Ben Hancorn
Xiao Guodong vs Mark Williams
Declan Lavery (a) vs Elliot Slessor
Martin O’Donnell vs Alexander Ursenbacher
Zhou Yuelong vs Martin Gould
Liang Wenbo vs David Gilbert
Allan Taylor vs Craig Steadman (a)
Liam Highfield vs Mark Selby
David Grace vs Mark Allen
What is the Snooker Shoot Out?
Each match lasts only one ten-minute frame, with a 15-second shot clock in operation for the first five minutes and a 10-second shot clock required for the remaining time.
Players lag to determine who breaks off, every shot must result in a ball hitting a cushion or being potted, and there is ball-in-hand for any foul committed.
A permanent fixture on the Main Tour schedule since 2011, no current top-16 player has ever emerged as the winner.