Appearing on The Russell Howard Hour last week, the author and journalist told the comedian she is currently writing the script, "a fictionalised comedy version of my life".
No broadcaster is currently attached, British Comedy Guide understands, but Day is drafting outlines for episodes ahead of pitching to channels.
Inspired by her podcast of the same name, How To Fail was published last year with the sub-title "Everything I've Ever Learned From Things Going Wrong", and was Day's first non-fiction book after four novels.
The book includes extracts from her interviews with celebrity guests, but also the English-born, Belfast-raised writer's account of her difficult school days, her divorce and the trauma she experienced after failing to conceive and having a miscarriage.
Nevertheless, the Irish Times has described it as "gloriously life-affirming", while the Guardian called it "painfully honest, but filled with humour and hard-earned wisdom".
Day, who will be discussing her latest book, Failosophy: A Handbook For When Things Go Wrong, at the newly reopened London Palladium on Friday, having interviewed Graham Norton about his third novel at the same venue yesterday, will host Book Club Live on Sky Arts with chef and broadcaster Andi Oliver from 18th October.
The show was commissioned by Philip Edgar-Jones, director of Sky Arts. Day told Howard that her dream casting to play herself in a television adaptation would be his daughter Daisy, star of the hit BBC drama Normal People.
"I feel like this sounds arrogant to say it because she's much younger than I am but I love Daisy Edgar-Jones, I thought she was amazing in Normal People and she's a brunette" Day suggested.
Expanding on her memoir's philosophy, she told Howard: "I think we all fail, that's the first thing to say. It's actually quite a democratising thing when you realise that. Even though we all fail and we all make mistakes, so many of us are fearful of it and my whole point is, we shouldn't feel fearful of something that's inevitably going to happen at some point in our life.
"And actually, unless we make a mistake, we can't learn the lessons that we need to learn. So making mistakes and making failures actually make you stronger, more resilient and more able to succeed in the future, that's the premise of it anyway."
Day's fourth novel, The Party, which follows a group of privileged young men as they progress from public school to Oxford and a fictionalised Bullingdon Club, and end up running the country, was optioned for a four-part drama adaptation before it was even published, in 2017.
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