The 25-year-old actor was filming 2008 Salvador Dali biopic `Little Ashes` in Spain and after being followed by a female admirer for several weeks, he asked her to spend the evening with him - and was shocked never to see her again afterwards.
He revealed: "I was playing Salvador Dali in Spain and there was this one girl waiting outside my apartment every day for about three weeks. There was one day when I was just so chronically bored I said to her, `Do you want to just go to dinner or something?? No one else wants to hang out with me.`
"Her parents had a restaurant, she took me there I complained about everything in my life for about two hours, then she gave me the bill to pay and was never back outside my apartment ever again."
Robert - who is dating his `Twilight Saga` co-star Kristen Stewart - sometimes attempts to disguise himself when he goes out, but admits he doesn`t do it very well.
He said: "I attempt to [disguise myself] - it doesn`t particularly work ever. I started off just trying to make strange expressions, but that`s not a particularly good tactic. You try and get little tics and things. You try and draw attention to the wrong part of your body, but that doesn`t really work at all. The best disguise is repellent."
When he does get recognised, the British star doesn`t mind as the recognition is like "job security"
He explained to TV talk show host David Letterman: "It definitely feels like job security, in a funny sort of way, if you`ve been avoiding it for a while and you suddenly go out and people are still screaming. Whew."