The Japanese side will have just two days to prepare for the Concacaf champions after easily defeating the New Zealand outfit in the opening match of the competition
The Japanese side struggled in the first half, but eventually pulled ahead on goals from Junya Tanaka and Masato Kudo.
"We can surely do better tactically and technically," Nelsinho told reporters after the match. "We performed steadily throughout the game, but we missed too many passes, and we could not get into our rhythm.
"We controlled the game, but we were not able to create enough chances. This is the first game, and what was important was to win."
Nelsinho also stressed that Reysol were not looking ahead to their potential semi-final match with Brazilian giants Santos, but instead were focusing on quarter-final opponents Monterrey.
"Monterrey is at the moment 12th in the Mexican league, but they are clearly a quality team.
"I am sure they will show the strength of Mexican football and they have international players. I am sure it will be a much tougher challenge for us."
After 90 minutes spent trying to penetrate a stubborn Auckland defence, the Brazilian seemed eager to meet Monterrey's more open style of play.
"With Monterrey it will be easier, because they are not too defensive. There will be more space for us and we can use our speed."