Wright, who needed a second chance to qualify after finishing runner-up on the inaugural night, has been drawn against Cristo Reyes, Jelle Klaasen and Ryan Murray.
There are eight groups, with the winners going through to two semi-finals before an eventual four-man final, with Wright's pool kicking off proceedings on May 26.
Two-time world champion Gary Anderson will be in Group Three with Luke Humphries, Jamie Lewis and Nick Kenny while World Matchplay champion Rob Cross takes on Ryan Searle, Luke Woodhouse and Daniel Larsson in Group Five.
All groups will be in a round-robin format again, with matches played to a best-of-11 legs, up from best-of-nine in the first stage.
Group One - Tuesday May 26
- Peter Wright
- Cristo Reyes
- Jelle Klaasen
- Ryan Murray
Fixtures:
- Peter Wright v Ryan Murray
- Cristo Reyes v Jelle Klaasen
- Ryan Murray v Jelle Klaasen
- Peter Wright v Cristo Reye
- Cristo Reyes v Ryan Murray
- Jelle Klaasen v Peter Wright
Group Two - Wednesday May 27
- Stephen Bunting
- Glen Durrant
- Alan Tabern
- Mike De Decker
Fixtures:
- Stephen Bunting v Mike De Decker
- Glen Durrant v Alan Tabern
- Mike De Decker v Alan Tabern
- Stephen Bunting v Glen Durrant
- Glen Durrant v Mike De Decker
- Alan Tabern v Stephen Bunting
Group Three - Thursday May 28
- Gary Anderson
- Luke Humphries
- Jamie Lewis
- Nick Kenny
Fixtures:
- Gary Anderson v Nick Kenny
- Luke Humphries v Jamie Lewis
- Nick Kenny v Jamie Lewis
- Gary Anderson v Luke Humphries
- Luke Humphries v Nick Kenny
- Jamie Lewis v Gary Anderson
Group Four - Friday May 29
- Dave Chisnall
- Darren Webster
- Geert Nentjes
- Damon Heta
Fixtures:
- Dave Chisnall v Damon Heta
- Darren Webster v Geert Nentjes
- Damon Heta v Geert Nentjes
- Dave Chisnall v Darren Webster
- Darren Webster v Damon Heta
- Geert Nentjes v Dave Chisnall
Group Five - Saturday May 30
- Rob Cross
- Ryan Searle
- Luke Woodhouse
- Daniel Larsson
Fixtures:
- Rob Cross v Daniel Larsson
- Ryan Searle v Luke Woodhouse
- Daniel Larsson v Luke Woodhouse
- Rob Cross v Ryan Searle
- Ryan Searle v Daniel Larsson
- Luke Woodhouse v Rob Cross
Group Six - Sunday May 31
- Joe Cullen
- Chris Dobey
- Jeff Smith
- Martijn Kleermaker
Fixtures:
- Joe Cullen v Martijn Kleermaker
- Chris Dobey v Jeff Smith
- Martijn Kleermaker v Jeff Smith
- Joe Cullen v Chris Dobey
- Chris Dobey v Martijn Kleermaker
- Jeff Smith v Joe Cullen
Group Seven - Monday June 1
- Nathan Aspinall
- Jamie Hughes
- Jose De Sousa
- Jesús Noguera
Fixtures:
- Nathan Aspinall v Jesús Noguera
- Jamie Hughes v Jose De Sousa
- Jesús Noguera v Jose De Sousa
- Nathan Aspinall v Jamie Hughes
- Jamie Hughes v Jesús Noguera
- Jose De Sousa v Nathan Aspinall
Group Eight - Tuesday June 2
- Jonny Clayton
- Max Hopp
- Carl Wilkinson
- Scott Waites
Fixtures:
- Jonny Clayton v Scott Waites
- Max Hopp v Carl Wilkinson
- Scott Waites v Carl Wilkinson
- Jonny Clayton v Max Hopp
- Max Hopp v Scott Waites
- Carl Wilkinson v Jonny Clayton
Play-offs format
- The Last 32 onwards will be played over the best of 11 legs in a round-robin, four-player group format.
- It will feature eight groups from May 26 to June 2, with each group winner moving into the last eight.
- Group winners will be allocated to one of eight groups in ranking order (one player from each pool of 1-8, 9-16, 17-24, 25-32).
- The last eight will feature two groups on June 3-4, with the top two players in each group moving into the Championship Group on Friday June 5
- If a player is unable to complete their group matches on the night from the last 32 onwards, they are eliminated from the tournament.
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