The first pick of the Big Bash League draft was Liam Livingstone.
All-rounder David Willey and seamer Chris Jordan were selected by the same team.
Livingstone was out of the rest of The Hundred with an ankle injury.
Budinger has replaced him.
There will be an overseas player draft for the first time in the 11th BBL.
The player of the match in this year's final for his 76 was retained by the Perth Scorchers in the second round of the draft.
James Vince, the two-time winner of the competition, stays with the Sixers while Alex Hales, a former England opener, was recruited by theThunder.
Phil Salt, a batter from England, was picked up by the Scorchers, while Adam Hose, a batter from Wales, was signed by the Strikers.
The final pick was England pace bowler Tymal Mills who was signed by the Perth Scorchers.
Trent Boult was chosen by the Stars instead of Afghanistan leg-spinner Rashid Khan.
Livingstone was part of the team that reached the final in 2020-21 but did not play in the next edition because of England commitments.
There were 24 overseas players who were signed from the 332 who put themselves forward for the draft, with two of them being unsold.
Liam Livingstone, Mujeeb Ur Rahman, Akeal Hosein, and others are on the team.
The stars are Trent Boult, Joe Clarke, andLuke Wood.
The heat was led by Colin Munro and Ross Whiteley.
Chris Jordan, James Vince, Izharulhaq Naveed, and James Vince are all members of theSydney Sixers.
Colin de Grandhomme was the leading scorer with 14 points.
Laurie Evans and Phil Salt are members of the Perth Scorchers.
David Willey, Alex Hales, and Rilee Rossouw are members of theSydneyThunder.
The Hobart Hurricanes have Asif Ali and Faheem Ashraf.
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