The Colombia international is confident that he will find the net on a regular basis this term and hopes Cristiano Ronaldo will soon return to the pitch.
The former Monaco star came off the bench at halftime to replace Cristiano Ronaldo - who had picked up a knock in the opening 45 minutes - and opened the scoring in the 81st minute, only for Raul Garcia to restore parity in the closing stages of the game.
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"I'm happy because it is day I had dreamed of. I'm getting there bit by bit and training session by training session. I'm improving. Hopefully I can score many more goals," James told the official Madrid website. "I scored a goal, but we wanted to win and that wasn't to be. The victory was within reach, but now we have to go out to win in the Calderon. We have to be patient, look for spaces, pass the ball and try to score there.
"As a great team we have to go out to win no matter what. Hopefully I can score again in the Calderon and try to help my team win there."
The Colombia star added he hopes to see Ronaldo return to action swiftly after he was withdrawn with a muscle complaint.
"Cristiano just felt something during the match, hopefully it's not significant."