The Frenchman opted to join Manchester United in a £36m deal which made him the most expensive teenager in history.
The Manchester Evening News follow up on claims made earlier this week by Monaco's vice-president Vadim Vasilyev.
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He revealed that another club had actually outbid United for the 19-year-old and MEN say that club was Chelsea.
Jose Mourinho was looking to sign Martial before the window closed on September 2 but intended to allow him to remain at Monaco for another 12 months before bringing him across the channel.
It has turned out to be a blunder as Martial has hit the ground running in the English game.
He's already racked up four goals in six games including a memorable goal on debut against United's bitter-rivals Liverpool.
Earlier this week Vasilyev said: "There was another club that offered even more than United.
"I will not say how much, but the fixed price, without variables, it was even better.
|And also they offered us to have him for a further year in Monaco.
"But the boy wanted to go to Manchester, it was his dream. And we let him go with the bonus of £22.2m.
"Had it not been for so much money, he’d have stayed."
Martial's fee could rise as high as £58m is certain criteria are met.