The 'Give Me All Your Luvin' singer has invited the eccentric pop superstar to join her on stage during her MDNA Tour, despite previously accusing her of copying elements of her song 'Express Yourself' in her single 'Born This Way'.
Lady Gaga's writer-and-producer Vincent Herbert revealed: "Madonna just called to ask Gaga to perform with her at Yankee Stadium. Her manager reached out to us and said Madonna would like Gaga to perform with her."
Madonna was so desperate to have Lady Gaga, 26, join her that she even promised to give the money raised to charity.
Unluckily for the 54-year-old music legend, Lady Gaga's own work schedule meant she couldn't accept her offer.
Vincent Herbert is quoted by the Daily Mirror newspaper as saying: "She really wished she could do it. She said, 'If we do it, let's donate the money to charity.' But Gaga's committed to her own tour."
Earlier this month, Madonna dedicated her song Masterpiece to Lady Gaga, telling the crowd at a performance in Atlantic City: "I'm going to dedicate this next song ... to Lady Gaga.
"You wanna know something? I love her. I love her. I do love her. Imitation is the highest form of flattery. But one day, very soon, we're going to be on stage together. Just you wait. You think I'm kidding? I love Lady Gaga."