Oranje needed a penalty shootout to see off their Central American opponents to book their place in the final four of the World Cup.
Bayern Munich winger Robber was left feeling unhappy, however, claiming that Costa Rica reverted to deliberately fouling him during the contest in Salvador.
"I'm tired of all the insults," the 30-year-old is quoted as saying by Marca. "Today I was rugby-tackled throughout the game."
He added: "We deserved the win. They only had one chance in 117 minutes. Football won on the night."
The Netherlands will face Argentina for a place in the final on Wednesday night.