Agarwal (55 off 48 balls) and Pandey (55 off 57 balls) shared 108 runs for the first wicket as Karnataka chased down the target of 117 with 10 balls to spare.
Karnataka lost Agarwal in the 16th over when the team total was 108, needing nine more runs to win.
Agarwal belted four boundaries and two sixes in his knock as he guided Karnataka to 121 for one while Pandey clobbered two fours and three sixes.
Earlier, Goa started their innings badly losing five wickets for 40 runs and could only post 116 all out in 18.3 overs. Keenan Vaz top-scored with 41, while R U Shukla and R J Pinto made a quick 20 each.
Vinay Kumar and Abhimanyu Mithun bagged two wickets each, while Stuart Binny, Pandey and right-arm off-break bowler Krishnappa Gowtham chipped in with one wicket each.
In another encounter, Tamil Nadu beat Andhra Pradesh by eight wickets as they successfully chasing down a target of 107, but before losing two wickets.
Mukund scored 33 runs off 33 balls with two hits to the fence, while Karthik made 38 off 34 balls with four boundaries.
Srikkanth Anirudha and in-form batsman Baba Aparajith took the team's total to 30 in 5.5 overs, before the later was caught by B Sudhakar off A G Praveen. Soon Aniruddha left the scene after making 19 off 25 balls with two boundaries to his credit.
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