The 32-year old will be the club's captain this season and wants to continue working with them with no intentions to leave.
And with another potential target, Yerry Mina, on the verge of finalizing a move to Everton, United made an approach to sign the experienced Godin from Atleti on the deadline day.
It seems Man Utd have also made an audacious attempt to sign Godin as ESPN are one of several outlets reporting they have made it clear to Atletico Madrid they are willing to meet the defender's £18m release clause.
Jose Mourinho is hellbent on snapping up a new defender ahead of today's 5 pm transfer deadline.
Godin has been at Madrid since 2010 and has made 350 appearances for the club. What doesn't make much sense, however, is that United are only seemingly moving for the player with hours remaining of the transfer window.
Whether United get a deal over the line for Godin, though, remains to be seen.
The 32-year old is widely regarded as one of the best central defenders in the game and has been an integral member of Diego Simeone's Atletico Madrid for years now.
The Red Devils have brought Fred, Diogo Dalot and Lee Grant to Old Trafford in recent weeks but Jose Mourinho is desperate to land an accomplished centre-back before the summer transfer window closes.
"The information I have is no", he said.
"So it's time, at least for me, to stop thinking about the market because the market will be closed".
Which players are Manchester United most likely to sell and sign this summer, according to 888sport?
'I will have to focus on the players I have in relation to this first couple of matches.