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The 30-year-old, whose last title came on clay at Santiago in February 2011, will see his ranking return to the top 50 on Monday.
Robredo, a former world No 5, missed five months of the season in 2012 with a leg injury and saw his ranking crash to 471.
"I'm very happy to win a title again after my injury," he said.
"Those points will help me a lot in the ranking. The goal is to arrive in Roland Garros in the best form possible. After that I will sit down and have a look at my goals."
Anderson was contesting his first tour-level final on clay and fell at the final hurdle for the second time this year.
The South African also finished runner-up at Sydney where he lost to Bernard Tomic.
"I thought I was in control of the match. I had a lot of chances in the first set," said Anderson.
"But there are a lot of positives, which is the main thing I got to look at, as disappointing as it was not to have won it. It's a good start for me on clay. There are still a lot of tournaments."
