The Croatia international's current deal expires in June.
"I've said [that I want to stay at Real Madrid] many times, but let's see what happens," said Modric for the Champions League pre-match presser against Inter Milan. "I always give the same answer. I feel good and I want to continue at Real Madrid.
"I feel that I can help the team. If you ask me what I want, of course I want to stay.
"I want to end my career here, but it depends on many things. But no one will be happier than me if I can finish my career here.
"I feel good. These games that I have not played it was due to a decision made by the coach and when I play I try to do well.
"They are talking a lot about my situation, but let's see what happens in the future."