Falcao, 32, has accused American referee Mark Geiger of bias during their knockout stage defeat to the Three Lions in which the South Americans lost on penalties, after a 1-1 draw after extra time.
In one of the more heated fixtures of Russia 2018, where Geiger appeared to have lost control of the flaring tempers between the two sides.
Colombia received six of the eight yellow cards - while Carlos Sanchez was punished for a foul on Harry Kane which led to England's opening goal from the penalty spot.
The countries' all-time record goalscorer feels the two sides were evenly matched on the pitch, but there was a clear disadvantage due to Geiger's decision making.
"I found it peculiar that they put an American referee in this instance," the former Manchester United striker said after the game.
"To tell you the truth, the process leaves a lot of doubts. He only spoke English, some bias was certain. Through small calls he was pushing us [toward] our goal, that was clear for me.
"The referee disturbed us a lot, in the 50-50 plays, he always made the calls in favour of England," he added. "This situation was undermining us. He didn't act with the same criteria for both teams.
"When in doubt he always went to the England side. It's shameful that this happens in the round of 16 of a World Cup."