A superb free kick from Cristiano Ronaldo broke the deadlock after 53 minutes, the five-time Ballon d'Or victor clipping the ball over the wall and into the bottom corner.
The victory means that Real have now picked up five trophies in 2017, with this latest success adding to their Champions League, La Liga, Uefa Super Cup and Spanish Super Cup titles.
The Los Blancos will next face Barcelona in La Liga and Ronaldo has appealed to the team from Catalonia to give them a guard of honour when they clash with each other in the El Clasico on December 23.
Cristiano Ronaldo celebrated after his free-kick was enough for Real Madrid to beat Gremio
"We have to enjoy every moment because we do not know what can happen tomorrow". The two biggest teams in Spain compete with high profile players and having to give a guard of honour to their eternal rivals is something that either club would consider to be a humiliating experience. "If possible, then I would like to, we'll see". We had a tough game against Pachuca, and Madrid had a tough game too. "Now we must enjoy, rest up and think about the rest of the season".
"It's crucial for us that he stays here right until the end of his career", Zidane said. Nobody is going to repeat what he's been able to achieve and what he is still achieving.
When is Real Madrid vs Gremio? "So I hope he continues like this until his retirement".
Paying tribute, Perez stated: "For me, he is the most complete player after (Alfredo) Di Stéfano, he is his heir".More news: Arsenal join chase for Virgil van Dijk
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