The Brazil captain claims his young teammate is well on the way to matching the Argentina forward and says the 22-year-old is "growing into a crescendo" at the World Cup.
Brazil faces Chile in the last 16 at the Estadio Mineirao in Belo Horizonte on Saturday, and the host's hopes will once again rest on the shoulders of Neymar.
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Like Messi, the former Santos forward has already netted four goals in the competition, and Thiago Silva says the Brazilian is well on the way to matching the Argentina skipper.
"Messi is one of the best strikers in the world, one of the very best players," the Paris Saint-Germain defender told reporters at a news conference ahead of his side's match against Chile. "But Neymar is growing into a crescendo and he will be soon considered one of the best in the world,
"Technically, he has all the skills. Messi is one of the best of all, but I’m sure Neymar will get to that level."
Asked the same question, Brazil boss Luiz Felipe Scolari agreed that Neymar is on the right track to be considered on a par with his Barcelona teammate.
"Thiago just answered," he said. "Messi is one of the biggest and the best, but Neymar is following in that direction.
"I will only give my opinion [on which player is better] in 10 to 15 years," he said, but added: "Neymar doesn’t play to be the best, he plays for Brazil and stands by Brazil because he wants Brazil to be world champions."