 " Give Me All Your Luvin ' " was written by Madonna , Martin Solveig , Nicki Minaj , M.I.A. , and Michael Tordjman , while production was helmed by Madonna and Solveig . Madonna had wanted to work with M.I.A. and Minaj on a song , since she felt that they are both " strong women with a unique voices " . She paid tribute to the stars , saying " [ Minaj and M.I.A. are ] not conventional pop stars and I really admire them both " . M.I.A. confirmed the collaboration on her Twitter account , saying that she had been asked to come to New York City on November 29 , 2011 . The rapper felt that the collaboration was an achievement her mother would be proud of , " way [ more ] than me putting ' Galang ' out in a club . " 
