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23 March 2012, 14:11 | Updated: 23 March 2012, 14:21
The 'Girl Gone Wild' singer says she was drawn to working with the artists because they have a strong sense of themselves.
Madonna has opened up about the first time she met Nicki Minaj and M.I.A. for their collaboration on the hit single 'Give Me All Your Luvin' and confessed she thought they were all shy of one another at the start.
The 'Vogue' singer told The Sun newspaper that she was drawn to work with the stars because she loves to work with women who have "a strong sense of themselves" and said they all had a lot of fun in the studio.
She revealed: "I was looking to collaborate with women who I think have a strong sense of themselves. They were a lot of fun to be around in the studio, for sure.
"I think we were all shy of each other in the beginning, that's just human nature. I think we got over that pretty quickly. They're both very self-possessed people, especially M.I.A. I don't think she's impressed much by stars and celebrities, so we just got down to business. I loved her."
As well as recording the track, the trio performed their song at this year's NFL Super Bowl half time show.
Meanwhile, Madonna unveiled the official music video to her new single 'Girl Gone Wild' earlier this week.