He leapt, got hold of the ball and kept his cool to push it back in the field of play before landing behind the boundary rope to save four runs, helping KXIP to limit MI to 11/1.
One Super Over was not enough to separate the two sides.
Earlier, Mumbai Indians made an opportunity out of the loss of early wickets.
The chase was as usual fashioned by Punjab captain Lokesh Rahul (77: 51b, 7x4, 3x6).
For Mumbai, Quinton de Kock carried on with his good form and smashed yet another half-century, scoring 53 off 43 balls to lay the foundation for a big finish.
Pollard then clobbered Arshdeep for successive sixes and Coulter-Nile hit two fours as MI amassed 22 runs in the 18th over.
Chasing 177, Rahul, who now holds the orange cap, blasted seven fours and three sixes in his knock to cross 500 runs this season and nearly single-handedly take KXIP home.
KXIP batted first with KL Rahul, Nicholas Pooran and Deepak Hooda sharing the batting responsibilities. On the last ball of the over, Bumrah delivered a flawless yorker and trapped Rahul LBW and helped MI restrict KXIP to 5/2. It proved costly as the throw found De Kock's gloves and he took the bails off with the England man inches short of his ground.
After the scores were tied at 176 in the 20 overs/side contest, the game headed into the first Super Over.
Rahul started the proceedings with a single before Pooran got out on the second ball. Not even close. Shami kept Rohit and De Kock to singles for the first three balls then nailed his yorker to Rohit for a priceless dot ball. Instead the throw came in, low and hard for the wicketkeeper to deal with but Rahul dived and flicked the ball onto the stumps to run out the diving De Kock by half a foot.
And since the rules prescribed the batsmen dismissed in the first Super Over along with the bowlers who bowled were ineligible, it put Mumbai Indians in the drivers' seat as Kieron Pollard and Hardik Pandya walked out to bat in the second over. It nearly worked as Jordan's attempted yorker became a low full toss that the West Indian smashed towards deep mid-wicket.
Hooda and Jordan though made sure that KXIP stayed in the hunt before the latter got out on the final ball, with scores levelled.
Given how Gayle and Agarwal approached the Kings XI's second Super Over, it may not have mattered but it was certainly a confidence boost and a blow for Mumbai.