Poland boarded the plane to Russian Federation on the back of a strong qualifying campaign that saw them finish at the summit of their qualifying group.
A Colombia victory over the Africans in their final first-round match in Samara on Thursday would secure a spot in the last 16 and keep them on target to at least match their charge to the quarter-finals in Brazil four years ago.
Midfielder James Rodriguez, victor of the Golden Boot at the last World Cup, returned to the starting lineup after injury and played a part in two of the goals as Colombia got back on track after their opening loss to Japan.
Earlier on Sunday, Senegal and Japan, the other two countries in Group H, tied 2-2. Robert Lewandowski & Co. will be looking for a rebound performance.
Beating Senegal in the nation's final group game would guarantee Colombia safe passage into the second round, while Poland's fate has already been sealed after just two disappointing group games.
"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".
Desperate for the equaliser, Poland exposed themselves to counter-attacks whenever they ventured forward.More news: Rough reception awaits Donald Trump as meeting with Queen announced
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Given his first start after fully recovering from a calf injury, Rodriguez lived up to expectations.
Lewandowski's side were crushed by Colombia over the 90 minutes and Rodriguez set up two of their goals with two superb crosses. He pressed relentlessly, tracked back and delivered an assist for Mina.
However, Poland have had serious issues while going forward ever since they landed in Russian Federation and Lewandowski, who averaged a goal every 56 minutes in qualifying, has not opened his account for the tournament after more than 180 minutes of playing time.
Colombia's Yerry Mina scored the goal for Colombia in the do-or-die match against Poland.
And with Lewandowski and his team-mates hurting, ruthless World Cup fans have unearthed an old tweet the Poland captain sent to Rodriguez past year.
The Poles manufactured a chance against the run of play a few minutes later.
"Colombia are an excellent team with an excellent coach".