Gladbach have lost just one of their last 10 matches in all competitions and opened the scoring at Borussia Park on 18 minutes through Fabian Johnson before being pegged back on the stroke of half-time by Stephan Lichtsteiner.
Hernanes was dismissed for a dangerous tackle following the interval and despite their failure to take all three points against 10 men, Schubert was proud to collect a second point in a Group D high on quality.
"At the very beginning, before I miss the chance, I want to make a giant compliment to my team," he told reporters.
"When we remember what a stretch of games they had bearing in mind the intensity and quality of those games, it is a sign of pure effort and will and a lot of quality.
"In the match today I think we showed that we wanted to win it from the first whistle. We tried to attack very early, tried to play good football beginning from the defence against a very good Juventus team. We were successful with that.
"We had 60 per cent possession in the first half [and] even more - of course because of the red card - in the second half and [we] had three or four chances to score."
Schubert felt Gladbach did their best to break down Juve's resilient defence but admitted they had found clear-cut chance difficult to come by.
"After the sending off we were very dominant and tried to find holes in the coverage but Juve defended extremely well," he said.
"How they defend around their own box, extremely competitive in the air, [it was] very tough. So it was hard to find any holes, we aren't really a team which is good in the air so crosses or kick and rush does not really work for us."