The win for Colombia sees them on three points in Group H, placed third behind Japan and Senegal, who have four points each.
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.
Poland's hopes for play in the knockout round of the football World Cup in Russian Federation are over after being thrashed 0-3 by Colombia in the group stage on Sunday.
Colombia's Radamel Falcao (L) and Poland's Michal Pazdan battle for the ball during the group H match between Poland and Colombia at the 2018 soccer World Cup at the Kazan Arena in Kazan, Russia on Jun 24, 2018.
Influential defender Glik missed Poland's opening match against Senegal due to a shoulder injury.
Nawalka believes a mix of stylish football, mental attitude and Polish anger will combine to help send Colombia home early. The Bayern Munich player's six goals in the 13 qualifying games he started - a hard feat in CONMEBOL qualifying, especially with four of them coming away from home - highlight how vital he is.
"Maybe that's all we could do".
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"We know all about him (James) and what he can do", said Napoli midfielder Piotr Zielinski.
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Quintero and the returning James Rodriguez were the stand-out players, collecting all three assists between them, and he accepted that their partnership could be key going forward.
Cuadrado was causing some problems down Poland's right flank, however, and a piece of mazy dribbling in the 37th minute saw the winger forge the first genuine opening, which goalkeeper Wojciech Szczesny blocked behind.
Poland struggled to cope with Colombia's midfield threats, with Juan Quintero starring alongside Cuadrado and Rodriguez.
They began the second half with the same intensity as the first and could have doubled their lead in the 51st minute if not for a wasteful Falcao.
Quintero played creator in the 70th minute and Falcao turned the last defender before stroking the ball past Szczesny with the outside of his boot for his first World Cup strike.
Poland after losing their two successive encounters have been dumped out of the World Cup from the group stages.