Argentina's doctor has confirmed the Real Madrid man will not be fit to face Netherlands but claims that Sergio Aguero is set to return from injury in the World Cup semi-final
Di Maria, 26, only made it through 33 minutes of the Albiceleste's quarter-final with Belgium, which they ultimately won 1-0.
After the match, his agent Eugenio Lopez suggested the Real Madrid man had torn his thigh muscle and would not recover in time to feature in the final if they are able to beat Netherlands in the last four.
The attacker has undergone medical tests on Sunday and is reported to be desperate to be fit should Alejandro Sabella's men get past the Dutch to play against Brazil or Germany at the Maracana on June 13.
Daniel Martinez, Argentina's team doctor, gave a more optimistic outlook towards Di Maria's injury than the player's agent had originally given, but admitted there would be no chance of him recovering to face Netherlands.
"It's not a serious injury," he told reporters on Sunday. "We have the best doctors looking after his recovery.
"Obviously he will not play against Netherlands and, after the match, we will study day-by-day. Sometimes, one day of recovery for an injury is a lot."
Di Maria has been an ever-present in Sabella's starting line-up in Brazil and scored the winning goal in extra-time against Switzerland in the last-16.
Martinez gave better news regarding Aguero, who has struggled with injury throughout the World Cup, by revealing he should be fit to feature against Louis van Gaal's men on Wednesday.
"He's done three team training sessions now and we hope that continues with his recovery," he added. "He's ready to play."