Navas, who currently plays his football in La Liga with Levante, has been one of the stand-out performers in Brazil as he helped Jorge Luis Pinto’s side to reach the quarter-finals.
The 27-year-old kept both Italy and England at bay in the group stages before his heroics in the penalty shoot-out win over Greece saw Costa Rica make history as they booked a quarter-final meeting with Holland.
Although Navas claimed the Man of the Match award against the Dutch – his third of the tournament – he was unable to stop Louis van Gaal’s men from progressing on penalties after a 0-0 draw over 120 minutes.
Navas’ displays this summer have attracted attention, with Arsenal reportedly tracking the keeper, but agent Ricardo Cabanas says just two bids have been received so far.
"Only FC Porto and Atletico Madrid have presented offers," he told Todomercadoweb.es.
Navas is said to have a buy-out clause of 10million euros in his contract, but Cabanas admitted he was unsure as to whether he would be leaving for that price.
"This is more up to Levante than us. The club have always had one idea, that while he played at the World Cup, they would listen to offers but would not make any decisions," he said.
"Now that the World Cup is over, this week that is starting now is going to be crucial."