The Rotherham-born official endured a busy night as he dished out a record breaking 14 yellow cards and one red card for Dutch defender Johnny Heitinga. After the 1-0 defeat, Robben and his team-mates accosted Webb and slammed the way he controlled the match.
"It was a World Cup final," Robben said after the game.
"You are talking about two aggressive teams who want to win. It was for the referee to control the game.
"It is wrong when you sit in the dressing room together and you are only talking about the referee and his very bad points.
"There were some strange decisions and for me, honestly, if you play a World Cup final, you need a world class referee. I don't know whether that was a world class performance from the referee."
Robben was involved in one of the key moments of the match when he was played through by Wesley Sneijder. TV replays clearly showed Carles Puyol tugging Robben back, only for Webb to play an advantage when he broke free again.
Webb decided to play advantage which was a call that added to the 26-year-old's frustration.
"It is very clear," Robben said.
"He has to send him off and he has to give a free-kick. In the end there was no advantage. It cost us because I didn't go down.
"We were 10 minutes before the end of the game. If we score a goal there we can win the game. But I couldn't score because the goalkeeper was too close."The Netherlands were slammed after the game for their physical approach, but Robben argued this was the only way to approach the Spanish challenge.
"Spain are a terrific side," he said.
"We had our plan and we tried to play our football but Spain have a great team with a lot of great players.
"We tried to stop them defensively, our organisation was good and we created chances. We cannot criticise ourselves. We have done everything we could.
"One team always has to lose but it is very frustrating when it happens four minutes before the end."