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Photorazzi / Tom Walck
Reports claim that the supermodel was unimpressed with Miller and started a jealous rant about the Factory Girl actress, who has become very close to Moss's former drinking partner Ifans.
A witness said: "Kate had a go at Sienna and accused her of stealing her style. She was ranting on about how Sienna was now trying to steal her lifestyle and friends too.
"It was really cutting and everyone was listening to them."
Both fashion icons had reportedly been drinking and had to be broken up by Sadie Frost, whose ex-husband Jude Law used to date Miller.
A source said: "Sadie stood between them and reminded them that it was a wedding and that they should show some respect.
"Sienna was in the mood for carrying on the scrap but Rhys persuaded her to call it a night."
