Colombia coach Jose Pekerman announced on Monday that the trio had missed out on being part of the World Cup finals in Brazil with Falcao failing to prove his fitness after knee surgery in January.
Perea also missed out due to an injury, while Muriel was deemed surplus to requirements, as Pekerman picked four strikers - Jackson Martinez, Carlos Bacca, Adrian Ramos and Teofil Gutierrez - ahead of the Udinese forward.
"I found this decision hard," Pekerman said of Muriel's omission.
"I was personally very excited to participate but we must carry on and support the team from the outside," the Monaco striker said.
With Falcao finally ruled out of the upcoming World Cup, there will be plenty of pressure on Porto's Martinez, Sevilla's Bacca, Ramos of Borussia Dortmund and River Plate's Gutierrez to score goals in Group C versus Greece, Ivory Coast and Japan.
The absence of Perea due to an ongoing groin injury means Milan's Cristian Zapata, Mario Yepes of Atalanta and San Lorenzo's Carlos Valdes will be Pekerman's main central defensive options in Brazil.
Midfielders: Abel Aguilar (Toulouse), Juan Guillermo Cuadrado (Fiorentina), Fredy Guarin (Inter Milan), Victor Ibarbo (Cagliari), Alexander Mejia (Atletico Nacional), Juan Fernando Quintero (Porto), Aldo Leao Ramirez (Atlas), James Rodriguez (Monaco), Carlos Sanchez (Elche)
