United then tried to peruse, Bayern's Jerome Boateng, Barca's Yerry Mina, and Tottenham's Toby Alderweireld but could not finalize the move with any one of them.
And BBC Sport journalist Stone has now revealed that the Red Devils were always wary of bidding for the 32-year-old.
Sources close to the negotiations confirmed on Thursday that officials from United contacted Atletico this week to discuss a deal for Godin, who was entering the final year of his contract.
Manchester United have failed in their approach for Atletico Madrid defender Deigo Godin, according to Sky sources.
Godin appears settled in Spain and ESPN suggest the South American is more likely to sign a new contract at the Metropolitano Stadium than to push for a late move to Old Trafford during the closing stages of the window.
Jose Mourinho is hellbent on snapping up a new defender ahead of today's 5 pm transfer deadline.
'I'm not confident, I'm not confident and the market closes today so it is time at least for me to stop thinking about the market because the market will be closed, ' the Portuguese said at his Thursday press conference.
Godin has reportedly rejected a €9m-per-season offered by United in order to stay at Madrid.
Signing Godin at this late stage would be incredible business by United, but it is also highly hard.
"So I will have to focus on the players I have".