Wenger accused Robben of diving in order to win two penalties in Bayern Munich's 3-1 aggregate win over Arsenal in the Champions League second round tie.
Wenger said: "Robben is very good at getting the maximum of nothing and he is a great player and as well a very good diver, but it is part of it.
"He is a fantastic player, I would not deny that, he's one of the best players in the world.
"But he gets in front of a player and then he slows down and goes down. He gets the free-kicks.
"That's where we spoke about yesterday that the referee, if he gives him a yellow card on the first one when he goes down, he will not do it again."
However, the Dutch winger responded to Wenger's accustaion, saying:
"I always say if you are a big manager then take your loss.
"If you win be happy, but don't start complaining about silly things. From a big manager you expect a little bit more. It was two penalties."
Wenger felt his side could have pulled off another shock result as they did last season, when winning 2-0 here, but bowing out on away goals.
"Our defending, our spirit was good. The frustration we had was the last 20 minutes I felt that Bayern was very vulnerable defensively and that we didn't take advantage of that," he said.
"We always missed the first pass, but I felt the situations were there where we could have made more of it.
"At the end of the day we never got them really under pressure."
Wenger revealed Mesut Ozil, who had looked refreshed and scored in the 4-1 FA Cup quarter-final win over Everton on Saturday, could be set for a lengthy spell on the sidelines.
"We have to make a scan tomorrow to see how bad it is but he's out for at least a few weeks. I hope it's not too bad," said Wenger, whose side travel to Tottenham on Sunday.
Bayern boss Pep Guardiola felt his side deserved their place in the quarter-finals.
"They (the Bayern players) were very intelligent the way we played. We wanted to control the game," the Spaniard said.
"We deserve this qualification for the next round."