Robben found himself looking for a new club after a disappointing two-year spell at Real Madrid, whom he had joined from Chelsea in 2007.
And Van Bommel, who left Bayern for Milan in January 2011, admitted that he recommended his former club to the 28-year-old.
"I told Arjen to come to Bayern, we spoke on the phone several times," Van Bommel told Voetbal International.
|33/1||Arjen Robben is 33/1 with William Hill to be top scorer at Euro 2012.|
"Arjen and I loved to play together in Munich and we still do with the Netherlands national team. We have a good feeling on the pitch.
"An example of that was the decisive goal in match against England at Wembley, when I squared the ball for Arjen to score the winning goal.
"Every club can make good use of Robben. I like to play with him and I am glad that he is Dutch."
Robben, who has scored 16 goals in 31 competitive appearances this season, has been named in Bayern's starting team for Tuesday's Champions League semi-final contest against Madrid at the Santiago Bernabeu.