The Roja midfielder was disappointed by the officiating as his side went down 2-0 to Netherlands on Monday and is hoping to see better officiating in their last 16 showdown
Host nation Brazil got the rub of the green in a number of controversial incidents in their opener against Croatia and benefited from a Fred goal that was borderline offside in their 4-1 victory over Cameroon on Monday.
Chile, meanwhile, were unhappy with the refereeing during their 2-0 defeat at the hands of the Netherlands and Vidal says the officiating could have a big say on who progresses to the quarter-finals.
"We were a bit unhappy with how the match went against the Netherlands," Vidal told AS.
"We had the ball and we did everything right, but we didn't get any luck. The refereeing was not balanced. The refereeing in the last 16 will be important."
Vidal underwent minor knee surgery last month and sat out the defeat to Netherlands, but said on Monday that he would be back in Jorge Sampaoli's side for the clash with Brazil on June 28.
Chile have progressed to the knockout stage of the World Cup on three previous occasions. Each time they were eliminated by Brazil: 1962 saw them defeated in the semi-final while 1998 and 2010 saw them go down to the Selecao in the last 16.