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They split just 14 months after they got married in October 2010 in India, but Russell, 42, is hopeful that they can move on to being friends, reports mirror.co.uk.
Brand is now married to blogger Laura Gallacher, the mother of his 10-month-old daughter Mabel.
Asked if he could ever be friends with Perry, Brand told Grazia magazine: "Oh yeah, I hope so. I'm willing and open for reconciliation, any kind.
Because if we can't overcome our relatively trivial personal disputes in this world, what hope is there for us?"
Brand said his relationship with Perry was "a very important and lovely time" in his life.
"I don't regret being married to Katy at all. I have very positive feelings about that whole experience and Katy is an extraordinary woman," he said.
Brand still has a tattoo on his arm that he and Katy both had done. He said he is "going to keep" the inking, which reads "Go with the flow" in Sanskrit.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)