The experienced midfielder suggested to his compatriot to try out his luck in Munich as he enjoys a good rapport with the former PSV and Chelsea ace
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.
Van Bommel, who left Bayern for Milan in January 2011, recommended his former club to the 28-year-old, with whom he has a great rapport.
"I told Arjen to come to Bayern, we spoke on the phone several times," Van Bommel told Voetbal International.
"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.