The match started to a barrage of noise from the yellow-shirted Colombian fans and the early exchanges were frenetic with Poland putting in some physical challenges and Robert Lewandowski getting close attention from the Colombian defence.
Colombia proved rampant in the closing stages and Pekerman's charges perhaps saved their best goal for last.
Poland were battling to keep possession of the ball, allowing the South Americans to run at them, perhaps hoping to pounce with a swift counter.
Senegal and Japan face each other three hours earlier and a draw in that clash will mean loss by either Colombia or Poland would result in its elimination.
Fit again, the Monaco striker scored with the outside of his foot in the 70th minute after playmaker Juan Quintero slipped in a defence splitting pass.
Colombia gradually settled in, though, with Quintero providing attacking width and Cuadrado proving risky with his subtle moves on the edge of the box.More news: Japan show spirit to hit back twice and deny profligate Senegal
And after having to make do with a spot on the bench against Japan because of an injury, James Rodriguez is likely to be welcomed back into the starting XI by Pekerman in a significant boost to Colombia's chances.
Poland led their qualifying group nearly from start to finish, finishing with eight wins, one draw and a defeat with Lewandowski leading Europe's qualifying campaign with 16 of the side's 28 goals. Centre-back Mina rose to the challenge as he climbed highest to power a header beyond a helpless Wojciech Szczesny in the Poland goal.
"But we're not going to go insane, mentally we're in a good place but we need to continue to improve because we are ambitious and we want to continue in this World Cup as we hoped".
"Colombia are an excellent team with an excellent coach".
- Despite failing to score against Senegal in Poland's opening match, Lewandowski has netted 21 goals in his last 16 appearances for his national team. "We tried to attack but there was no fluid play".
Few players were as hyped before Russian Federation 2018 as Poland's Robert Lewandowski, but with a game to go, the striker and his team are already out.