Colombia's Juan Zuniga will not face disciplinary action for the challenge that led to Neymar's World Cup exit.
The Brazil striker broke a vertebra in his spine during his side's 2-1 quarter-final win on Friday following a challenge from defender Zuniga, 28.
A Fifa statement said there could be no disciplinary action because the incident was spotted and dealt with by referee Velasco Carballo on the pitch.
"We wish Neymar a prompt and complete recovery," said a Fifa spokesman.
Fifa has also announced it will not overturn the yellow card shown to Brazil captain Thiago Silva during the Colombia game, saying "there is no legal basis entitling it to grant such request".
Brazil face Germany in the World Cup semi-final on Tuesday (kick-off 21:00 BST).