At least that’s what John Eucalitto, president of Wayback Burgers, a private, Connecticut-based burger chain, implied yesterday, when he offered to take McDonald’s (MCD) place in a burger partnership with Burger King. Eucalitto wrote in a statement:

“Wayback Burgers would be happy to take Burger King up on its offer to partner to raise money surrounding International Day of Peace. Our nine patty burger, The Triple Triple, could be a great vehicle to work with. Perhaps we could create the Whiple Whiple. Besides, wouldn’t Burger King prefer to partner with a fresh and innovative brand that is on the rise? Either way, we hope to hear from you.”

The statement comes after McDonald’s declined on Burger King’s proposal to collaborate on a “McWhopper” in celebration of world peace. In addition to full-page ads in the New York Times and Chicago Tribune, Burger King tweeted about “settling the beef”:

.@McDonalds let’s #SettleTheBeef to raise awareness for@PeaceOneDay. #McWhopperProposal http://t.co/GEXRHve53D pic.twitter.com/o3APQ2QzKC

— Burger King (@BurgerKing) August 26, 2015

In response, McDonald’s CEO Steve Easterbrook wrote in a Facebook (FB) post that “our two brands could do something bigger to make a difference,” and reminded its burger rival that the competition between them does not equal “circumstances of the real pain and suffering of war.”

And so the burger games continue, with perhaps a third player in the mix.