Late goals from Dani Carvajal and Vinicius Jr saw Real win 2-0 at Wembley against Borussia Dortmund.
Vini said afterwards: "I'm very happy to be able to win another Champions League with this club, which has given me so much. It's an incredible thing. Not everyone can experience it and win it so many times. It looks like it's easy to come here and win. We suffered a lot throughout the season, with all the injuries we've had. Everyone has worked incredibly hard to get here.
"I'm very happy to have been here for so long. Hopefully the presi can renew my contract because I want to be here forever and continue making history like Carvajal, Nacho, Modri or Kroos. They have won the Champions League six times and they've shown us the way. I want to be like them. I'd like to retire here, although I don't think the people at Flamengo will let me."
Asked about the Ballon d'Or, he smiled wryly: "It's very difficult to win the Ballon d'Or because of the whole process behind it, but I believe all those I'm with every day. They tell me I'm the best and I end up believing it."