The result leaves Real top of the table and ahead of Barcelona by only a point.
Hazard said, "When we were winning 2-1 we should have finished off the game, but it's not the last one of the season and we are still top of the table. There's still a lot of the season left and we can keep battling and fighting for the titles.
"We've had chances that we missed and maybe the team should have finished off the game, but we're not short of goals.
"I'm happy with my performance, not with the result. We hope to do better in the next few games. I'm happy to have played 70 minutes, but in the end, I was tired after so much time out."