Jose Pekerman singled out debutant Duvan Zapata after Colombia earned a 1-1 draw with Peru to qualify for the World Cup on Tuesday.
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.
Falcao said after the game: "We knew what was happening in the other matches, we were playing with (the knowledge of) the other results and in that moment (I tried) to transmit that (to Peru)".
The match ended in a draw, so Colombia qualified automatically for the tournament in Russian Federation and Peru booked a meeting with New Zealand in a play-off. "We suffered a lot but in the end we did it". With Chile falling to Brazil 3-0, Peru chose to play safe, taking no chances and running out the clock in extra time.
After Falcao's message was passed around the team, the Peru players played out the final minute of the match passing the ball around the defence before the referee blew the final whistle.
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"They knew the situations from the other grounds".
Former Newcastle winger Nolberto Solano said: "We needed to win, them too".
He told Colombian outlet Win Sports: "I believe that Colombia today can play against anyone".
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.
The British will go to Russian Federation and Peru will play the dam intercontinental against New Zealand. What pact? That's speculation.