The second-placed Steelers appeared to be on their way to victory after a sixth minute goal by Kim Jae-Sung and a Kim Ki-Dong penalty minutes after.
However, as the end of the first-half drew near, Daegu made a miraculous comeback.
Ahn Seong-Min and Quirino levelled terms before the break with strikes in the 37th and 44th minutes respectively.
Busan I'Park were another team to let a lead slip with a 1-1 draw with Gwangju FC.
Lim Sang-Hyup fired Busan ahead and the win was in their grasp, but slipped through their fingers in the last second due to a stoppage-time equaliser from Joao Paulo's equaliser.
Meanwhile, the home fans of Incheon United roared in applause as they defeated powerhouse Suwon Bluewings 2-1.
Incheon's star striker Yoo Byung-Soo was once again left out of the match-day squad, leading experts to believe that his absence due to injury will last longer than expected.
Suwon's star goalkeeper Jung Seong-Ryong was criticised for his poor plays and mistakes on the pitch, failing to save both an early goal and the penalty kick against Incheon United, with some pundits hinting at foul play in the context of the match-fixing scandal.
Jeonbuk Hyundai and Seongnam Ilhwa both recorded wins, beating Daejeon Citizen 3-2 and FC Seoul 2-0 respectively.
After their loss to Seongnam, Choi "Eagle" Yong-Soo's FC Seoul sees themselves placed 11th on the table.
Pohang Steelers 2-2 Daegu FC
Chunnam Dragons 0-1 Ulsan Hyundai
Sangju Sangmu 0-0 Gangwon FC
Busan I'Park 1-1 Gwangju
Daejeon Citizen 2-3 Jeonbuk Motors
Incheon United 2-1 Suwon Bluewings
Seongnam Ilhwa 2-0 FC Seoul
Gyeongnam FC 1-1 Jeju United