The Capitals scored 57 runs in the last 18 balls with Stoinis producing a whirlwind knock that had seven fours and three sixes.
The pitch had a tinge of grass, the ball was swinging and pacer Shami relished the bowling on a helpful track.
His wicket-taking and run-choking act seemed to have made the difference before Stoinis' outstanding hitting changed the complexion of the game in matter of minutes.
It was a pitch that required patience from the batsmen but reckless shots was how Delhi Capitals began after being invited to bat, with Prithvi Shaw (5) paying the price for his extravagance and Shimron Hetmyer (7) failing to check his shot.
Shikhar Dhawan (0) was run out to a horrible mix-up and the scoreboard was not a pleasant sight for the Delhi side at 13 for 3.
However skipper Shreyas Iyer (39) and Rishabh Pant (31) respected the conditions to raise 73-run stand for the fourth wicket while Stoinis' knock towards the end put Capitals in a psychologically advantageous position.
Iyer launched into Gowtham for a massive six, first of the innings, in the ninth over, taking the run-rate to a modest five-an-over.
Iyer and Pant largely relied on singles to keep the scoreboard moving. Iyer took Gowtham to the cleaners in the 13th over, creaming off 15 runs with two well-measured straight sixes.
Suddenly, Iyer seem to be snatching the momentum and it forced Punjab captain KL Rahul to bring back his best bowler -- Shami, who did not disappoint and got rid of Iyer. Delhi seem to be limping but Stonis rescued them.
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Dubai: Reports have emerged claiming that Dubai International Airport has been hit by a missile amid rising tensions in the region.
Several videos claiming to be that from the Dubai Airport were being circulated online.
The claims surfaced shortly after emergency alerts were issued across the UAE warning residents and visitors of a potential missile threat and advising them to seek shelter.
However, there has been no official confirmation from UAE authorities regarding any strike on Dubai airport.
Details about possible damage or casualties remain unclear. Authorities are yet to release a formal statement on the reported incident.
