The 'Watermelon Sugar' hitmaker is believed to have slid into the DMs of the 31-year-old model - who recently split from her ex-boyfriend Jack Penate - seven years after the pair briefly dated in 2013.
A source told The Sun on Sunday newspaper: ''Harry is used to getting any woman he desires and he still holds a torch for Daisy. They met years ago through mutual friends and regularly hang out in the same circles.
''Not only does he think she's really cool, with her rock and roll background, but he really fancies her too and loves her style.
''He's slid into her DMs quite a bit and is open about appreciating her sexy Instagram pics.''
However, it has also been claimed Daisy sees the 26-year-old singer ''more as a little brother than a lover'', so may not be interested in giving their romance another chance.
The insider added: ''Sadly, she's five years older than him and while he can more than handle himself with older women, she's always seen him more as a little brother than a lover.''
Meanwhile, the One Direction hunk recently said he's keep to give up his ''worrying'' ways, after developing a fear of ''getting things wrong''.
He said earlier this week: ''I am trying to let go of the worrying thing.
''I think I had a lot of fear - whether it was conscious or subconsciously - just about getting it wrong. I am just trying to worry less.''
And Daisy has also been learning to let things go, as she said moving back in with her family - including mother, Pearl Lowe, stepfather Danny Goffey, and half-siblings Alfie, 23, Frankie, 21, Betty, 14 - during lockdown amid the coronavirus pandemic has made her more patient.
She explained: ''If you had told me six months ago that I'd been living here solidly with all of us for two months with no let-up, without a single row, I would have said you were mad.
''You have to develop a whole new level of patience, you have to let things go that you wouldn't have before.
''I'm actually really grateful for the quality time.''
The biggest names in music royalty.
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