Walsh has since split with his girlfriend of five years, Rebecca Humphries, who issued a scathing statement about the stand-up comedian, speaking of previous "inappropriate, hurtful behaviour".
Contestant Walsh and his pro-dancing partner were caught by cameras kissing after night out in London.
She publicly broke up with Walsh in the letter, saying that she was "not a victim" and accusing the comedian of reacting aggressively when she confronted him over the kiss.
The pair apologised in separate statements on social media and on Wednesday appeared together on Strictly spin-off show It Takes Two to address the scrutiny.
"And focusing on my job and doing it as professionally as I can".
These are all UK-based celebs, so you likely won't know them, but bear with me because this story has EVERYTHING: Scandal, betrayal and a spectacular public dumping that ends with the instantly iconic line, "I'm not sorry I took the cat though".
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Seann, 32, who was dumped by Rebecca in a brutal tweet on Monday, has promised to carry on in Strictly.
In the message to her fans the actress said on the affair: "It's incredibly good of Sean (n) and Katya to apologise in the media".
"I have a voice and will use it by saying this to any woman out there who deep down feels worthless and trapped with a man they love: Believe in yourself and your instincts". I wasn't thinking and it was a one-off mistake after some drinks.
She said: "Those pictures were taken on October 3rd".
She posted a picture of Seann with her dog Crumble on the pet's Instagram account, writing: 'I met my mummy's new dance partner Seann Walsh yesterday... he seemed very cuddly, so I approve!'
The 46-year-old chef competed on Strictly Come Dancing back in 2005, finishing in fourth place with his professional partner Camilla Dallerup, 44. Telling her side of the story, Rebecca explained that Seann said he was going for one innocent drink with Katya, on what happened to be Rebecca's birthday. I'm very sorry for that.
During the "awkward" apology, Seann addressed Rebecca's statement, telling host Zoe Ball: "I made a mistake which I am very sorry for, I'm sorry for the hurt I caused, you never think about the extent of the damage you are going to do in the mistake that you made".