Meanwhile, Dawid Malan has been named captain for the T20 Blast.
The Global Super League 2024 will be played in the round-robin format, where every team is scheduled to play one game each against the remaining four teams.
Shaheen Shah Afridi, whose first over heroics went in vain, finished with the figures of 4-1-29-4.
Dawson’s Hampshire went on win the final of Vitality Blast on Saturday night.
With a full house at Edgbaston, one of the supporters took the chance to live a special moment for him and his partner.
In the last over of the Hampshire innings, Dawson was caught short of the popping crease after he tried to steal a run.
Rossouw ended the game at the score of 94 runs in just 36 balls which included 8 fours and 7 sixes.
Although Phillips managed just 2 runs with the bat in this encounter, he has been in superb form in the tournament.
Notably, Labuschagne along with Michael Neser was forced to withdraw from a T20 Blast game for their County Glamorgan after their teammate Nick Selman tested positive for COVID-19.
Day 4 will have just one encounter set to be played at the County Ground, Hove with a 7:00 pm (local time) start.
Star players like Eoin Morgan, Lockie Ferguson, Marnus Labushagne, Jonny Bairstow will be in action on Thursday.
Qais had signed with Gloucestershire last year but his contract had to be terminated due to the COVID-19 pandemic situation.