The Tigers raced out to a 74-run partnership in pursuit of the 218 set by the Redbacks, before Dunk was dismissed by Cameron Valente and Jordan Silk was removed soon after as the Tigers fell to 2-91.
Beau Webster and Charlie Wakim were resolute in their partnership, but would perhaps come to rue their slow run rate, with a 98-run stand after their 20 overs in the middle.
With 21 balls remaining and the Tigers at 4/200, Cameron Valente bowled Simon Milenko with a stinging yorker and ensured a thrilling chase through the final overs.
The Tigers added another 16 runs before left-arm swing bowler Nick Winter intervened on the second-to-last ball of the match and bowled Tasmanian rookie Charlie Wakim for 65 (77), with two runs still required.
Cameron Boyce could only push a single before he was run out in an effort to win his side the match, as the newly contracted Winter rescued a tie for his side.
WE HAVE A TIE 😮 It's a run-out on the last ball! SA 8/218 v TAS 7/218— West End Redbacks (@WestEndRedbacks) September 11, 2017
Valente - 3/33
Ross - 57 (75)
C. Wakim - 65 (77)
R. Meredith - 4/41
Alex Ross top-scored for the Redbacks with 57 off 75 and struck a telling fourth-wicket partnership with Jake Lehmann totaling 75 runs, while allrounder Valente contributed a crucial 31.
The two sides yesterday played out a largely experimental practice match which finished South Australia 13/183 vs Tasmania 9/172.
The Redbacks will now disperse for two weekends of the West End Redbacks League before their first match of the JLT One-Day Cup against the Cricket Australia XI on 27 September.