Slovakia coach Jan Kozak said he was surprised to have ended Group B with four points after the loss to Wales and expressed his delight at holding England to a goalless draw.
Slovakia lost their opener 2-1 to Wales but they hit back to record a convincing 2-1 success over Russia and then managed to snatch a point against England.
They therefore secured four points and appear likely to qualify for the round of 16 as one of the third-placed teams, and Kozak told reporters afterwards: "Before the tournament I did the maths and thought we'd only get four points if we beat Wales.
"But football is like that. I am very glad to have four points but we have to wait to see what happens with the other matches, and if we get through I'll be very happy."
He said taking "a point against England is the biggest positive" of the night and was asked whether he considered Wales or Roy Hodgson's side to be the better team.
"When it comes to football quality, England are better than Wales," he said.
Slovakia had qualified for Euro 2016 as Group C runners-up behind Spain, and they had beaten the European champions 2-1 at home before losing 2-0 away.
Kozak said England had presented the same sort of test for his side.
"This was similar to the qualifier against Spain," he said. "Against tough opposition, they had an attack-minded lineup and we were pressed right back. It was a very important point to get to the last 16.
"Our players tired as the game went on and England showed their quality and strength but when you see an opportunity you go everything you can. Perhaps I didn't expect to be pressed so deeply but we made some substitutions to neutralise the impact of their attack."
Hodgson made six changes for the Slovakia game, seemingly in an effort to rest the likes of Wayne Rooney, Dele Alli and Kyle Walker for the knockout phase.
"When I saw the England games against Wales and Russia I could guess the lineup for today's match," Kozak said. "It was a logical decision. The alternatives for the full-backs were very similar.
"It was very physically demanding against Wales and Russia and the centre-backs were the same. I supposed Rooney and Dele Alli would stay on the bench. Vardy and Sturridge scored against Wales so it was a logical decision."