Japan like Senegal also need a draw against Poland to advance to the next round but the Blue Samurais are not settling for less.
If Japan and Senegal both win, Colombia will be eliminated and who tops the group will be decided on goal difference and then goals scored.
Despite following a disappointing 2-1 defeat to Japan with a decisive 3-0 win over Poland, Colombia need to beat the on-form Africans in Samara if they are to avoid what would be seen as an embarrassing exit.
Colombia will face the runner-up of Group G, which will be either England or Belgium.
With Senegal and Japan both on four points, Colombia and Senegal could both progress with a draw but only if Japan lose to Poland.
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However, it was never proved if the match was thrown, but henceforth all final group matches were played together. How both sides approach the match will be a good indicator of their respective philosophies and team culture.
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M'Baye Niang missed an early opportunity but the opening exchanges were cagey before referee Milorad Mazic awarded Senegal a penalty in the 17th minute.
Getty ImagesGroup H is set to bring a wild end to the group stage of the 2018 World Cup - here's every scenario for how things could shake out between Japan, Colombia, and Senegal as they battle for the final two spots in the knockout round.
Colombia might control the run of play and create more chances, but Senegal will be unsafe on the counter-attack.
Following 74 minutes of tense football with few chances, Mina stooped to score the crucial goal from a corner and send the yellow-clad Colombian fans wild in the Samara Arena.
Senegal dominated possession in the remaining stages of the first half, but they were unable to carve out a chance as the sides went into the break goalless.
Colombia settled for their one-goal lead and, despite growing increasingly desperate and frantic in the closing minutes, Senegal could not force in an equaliser to keep them in the World Cup, their fair play record giving them an unwanted piece of history.