The Chelsea centre-back personally performed well in South Africa, conceding just one goal in 360 minutes of football, but still found himself on the plane home after Portugal's 1-0 defeat to Spain.
And for a team that scored seven goals in the group stage alone, you would think Carvalho's criticisms were hard to justify.
The problem was that the entire seven-goal haul came in a single game, as Korea DPR capitulated and let Portugal score almost at will, with six different players finding the target.
Portugal's two other Group G encounters ended as goalless draws, as both Brazil and Cote d'Ivoire were kept at bay but proved equally resistant to Portuguese efforts on goal.
"I think you need more offensively," Carvalho said when asked to assess his nation's overall World Cup performance.
"We defended well, but you have to create more chances to score. We were just playing on the counter-attack and I think you need more to win."
Portugal spurned further chances in front of goal in their knock-out match against local rivals Spain, and were left rueing their misses as they made an early World Cup exit.
"Everyone wants to do better, but the reality was that we lost the ball quickly and it was difficult because Spain had more possession and were more dangerous," he continued.
"Of course, we had one or two chances and if you score then it could be different. But in the end we should do more offensively to try to win the game."