Their victories handed the Hammers' second position in the points table and, ironically, a semifinal clash against the same opponents.
Veer Marathas will take on Punjab Royals in the other semifinal.
Down 2-3 after five bouts, the Hammers needed to win their last two matches and Sun Yanan and Roublejit Rangi did so in style.
Olympic bronze medallist Sun Yanan set the ball rolling by beating Vinesh Phogat 15-7, denying the Indian the pleasure of avenging her Rio Olympic debacle.
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Dangal's Vicky Chahar too started off confidently and led Roublejit 2-0 at the break. The Hammers' grappler, however, recovered from it and used his experience to seal the clash 9-4 and win the tie for his side.
Earlier, Haryana Hammers won the toss and chose to block the burly Jamaladdin Magomedov while the Dangals opted to keep Sarita Mor (62kg) out of action.
Rathi grabbed the early initiative, taking the lead but Vladimir used his experience to overpower Rathi and emerge victorious 6-2.
The women's 57kg weight category saw World Champion Vanesa Kaladzinskaya of UP Dangal tower over Helen Maroulis' replacement Pooja Gahlot in a one-sided affair.
Russia's Khetik Tsabolov (74kg) then warded off UP Dangal's Asian Championship gold medalist Bekzod Abdurakhmonov to help Haryana Hammers take a narrow 2-1 lead.
Dangal promptly bounced back to restore parity through Hungary's Zsanett Nemeth. She dominated Pooja Sihag and won 6-1 in the 76kg clash.
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