Una Healy had split with husband Ben Foden - over alleged cheating claims.
"She has now decided it's over".
A pal close to Becky said: "They once went to a very drunken party with some of Ben's rugby pals and she ended up romping with him until 4am. 'She thought their marriage would be forever, but can't see a future for them any more".
Healy has also worked as a judge on The Voice of Ireland and released her long-awaited debut solo album The Waiting Game earlier this year.
'Ben has been friends with me for years, so I'm fully aware of what's going on, ' the publication states she said.
In an official statement, Una's spokeswoman said: "I can confirm Una and Ben have separated and she's in Ireland with her mum and kids, but there will be no further comment to make".
The publication report that Ben is still planning on making the move to NY.
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Una, 36, and Ben, 33, tied the knot in 2012.
The news comes days before they were due to move to NY with children, Aoife (6) and Tadhg (3).
"Last month, The Saturdays star posted a picture of the couple on their wedding day and wrote: "#tb Saturday June 30th 2012. 6 years married to @ben_foden today!
Meanwhile, Ben gushed over Una writing: "Six years of Marriage spent with this one @unahealy she must be doing something right. Happy Anniversary handsome #6yearsmarried #benuna".
'I'm aware that Una is making a statement, I spoke to her last week'.
"We were set up on a date, a bit like a blind date".
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