Madonna - who has sported a number of flash-flashing outfits throughout her tour - has criticised Gaga on a number of occasions and recently hit out at her after the 26-year-old pop star's single Born This Way had many similarities to her own 1989 hit Express Yourself.
She said: "I thought, 'What a wonderful way to redo my song.' I mean, I recognised the chord changes. I thought it was ... interesting."
Earlier this year, Elton reignited his long-running feud with Madonna by implying she wouldn't sing live at the Super Bowl half-time show, saying she should "lip-synch good" in her performance.
The 65-year-old musician's comments came after David branded Madonna "embarrassing" and "desperate" after her song Masterpiece - from her directorial debut movie WE - beat Elton's efforts on animated film Gnomeo and Juliet to win a Golden Globe award.
He wrote on Facebook: "Madonna. Best song???? F**k off!!!
"Madonna winning Best Original Song truly shows how these awards have nothing to do with merit. Her acceptance speech was embarrassing in its narcissism. And her criticism of Gaga shows how desperate she really is. (sic)"
- Bang! Showbiz