On Tuesday night, Peru, received Colombia for the last game of qualifying for the world Cup from the zone Conmebol.
Falcao, who plays his club football for French Ligue 1 side Monaco, was seen in discussion with Peruvian players with his hand covering his mouth towards the end of the 1-1 draw in Lima.
A 1-1 draw meant Colombia sealed their spot in next year's tournament, while Peru secured a playoff tie against New Zealand at the expense of Chile, who failed to qualify.
Falcao said: "We knew what was happening in the other matches, we were playing with [knowledge of] other results and in that moment [I tried] to transmit that".
"We again began to see Colombia in many aspects that we want to see, very solid in each line".
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South American media has branded the incident the "Lima Pact" but there is little evidence Falcao, 31, did anything dishonest.
Chile's 3-0 loss in Brazil meant the South American champions miss out on Russian Federation due to goal difference.
"So we managed the game as we needed to. They knew what the situation was in the other games", Tapia told Panamericana TV.
"I spoke with Falcao and he said to me that we were both in, so there was happiness about that".
They needed to beat Brazil in their final group clash to ensure passage to the World Cup, but they ended up losing 3-0 in Sao Paulo, the third defeat they suffered in their final four qualifiers.
Peru will now go up against New Zealand in a two-legged encounter with the victor guaranteed a place at next summer's tournament. What pact? That's speculation.