The 20-year-old played alongside Leonardo Bonucci due to Giorgio Chiellini's anterior cruciate ligament injury but struggled to cope with Napoli's rampant attack in the second half and was partly at fault for all three goals Juve conceded.
Netherlands coach Ronald Koeman has defended the €75million centre-back, however, and Liverpool star Van Dijk echoed those sentiments.
"Everybody that knows him also knows that he always stays calm in these kinds of situations.
"Of course, I spoke to him. But we don't need to tell each other a lot. I think it's also something you only talk about when you see each other for the first time again.
"After that, the focus is on the future and the match in front of us as a pairing. So that's what we did."
De Ligt's former club-mate Frenkie de Jong also switched to a European heavyweight in the offseason by joining LaLiga champions Barcelona, though the midfielder has been used in a slightly different role to the one he played for Ajax and typically occupies for the Netherlands.
"No, not at all. Those guys are amazing, they know that and we do too," Van Dijk said when asked if extra work was required to accommodate the duo in Netherlands' system.
"I think they will show why they are so important to us once again."
Koeman, meanwhile, refuted the suggestion Netherlands will be feeling extra pressure following their 3-2 home defeat to Germany in March.
"There's always pressure on us. Especially now against Germany," Koeman said. "From the outside, it may seem as though we have some pressure on our shoulders, because of our most recent meeting.
"We still have some spare games. I believe we can take a big leap with a good result against Germany tomorrow. In that case, the rest of the qualification will be a bit easier. If not, reaching the Euros should still be our main target, of course."