The attacking midfielder was upset by the Argentine's claim that Louis van Gaal's men "didn't try to play football"
The Dutch needed only a point to pip the South Americans to top spot in Group B but they claimed all three thanks to late goals from Leroy Fer and Memphis Depay.
Sampaoli was enraged by Netherlands' allegedly defensive tactics, though, accusing Oranje of "putting nine or 10 men behind the ball" at all times, much to the annoyance of Sneijder.
"It’s a little bit disrespectful if he says we didn’t want to play football and we didn’t do anything today [Monday] because we were the ones who won 2-0," the playmaker told reporters.
"If he saw us in the two games before [against Spain and Australia], we didn’t play that differently today to those two games.
"But we know that we are very strong and can play compact football, and we know that up front, with our attackers, we are very strong, so it was up to Chile to create something against it.
"And they couldn’t create anything today, so that’s a compliment for our team."
After maintaining their 100 per cent start to their World Cup campaign, Sneijder admitted that Netherlands go into the last-16 brimming with confidence and says that they do not car who they face in the knockout stages.
“We have finished top of the group and of course it gives you confidence when you win games," the Galatasaray attacking midfielder acknowledged.
"We knew that Chile are a very strong team with very good players, so that’s good for the confidence as well to get another three points."