The 25-year-old made 50 league appearances for the Bernabeu outfit - scoring 11 times - after arriving from Chelsea in 2007.
However, following the expensive acquisitions of Kaka, Cristiano Ronaldo, Karim Benzema, Alvaro Arbeloa and Xabi Alonso, Real were open to offers for Dutch sextuplet Robben, Wesley Sneijder, Rafael van der Vaart, Roysten Drenthe, Ruud van Nistelrooy and Klaas-Jan Huntelaar.
Tottenham Hotspur, Manchester City, Manchester United and Fenerbahce were all linked with moves for the former PSV star.
However, he eventually opted to join Bundesliga giants Bayern for a fee reported to be in the region of €25 million, with the wide-man going on to score twice on his debut against Wolfsburg last weekend after coming on as a second half substitute.
But Robben has revealed that he could have left Real for the Madridistas' arch rivals Barcelona, with the Spanish treble-winners believed to keen on acquiring him before the summer transfer window slammed shut on Tuesday evening.
"Barcelona were interested in signing me, too. However, I don't think that a transfer really was a possibility," he was quoted as saying on television show Eredivisie Live.
"Real Madrid would never have let go of me if Barcelona made a move.
"That's all history now though. I'm very happy that I'm a Bayern Munich player now. I'm looking forward to a successful season in Germany."
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