Robredo will play Simon Greul of Germany in the second round, having been allowed to miss the first round along with the other top four seeds of the tournament under the ATP Tour's rules.
Robredo last week teamed up with Maria Jose Martinez Sanchez in the Hopman Cup final, beating Britain 2-1 in the final.
Key to that was Robredo's 1-6 6-4 6-3 over Murray, the world number five.
"It was a great win, but now I have to look forward to this week," Robredo said.
Robredo, the world number 16, had an ice pack on his arm as he spoke to media shortly after teaming up with fellow Spaniard Marcel Granollers to win a first round doubles match yesterday.
He said the ice pack was not a sign of injury.
"That's our life," he said. "We play a lot and we need to recover sometimes but it's nothing to worry about."
Robredo said he respected Greul, who he defeated in their only previous match, in the first round at Wimbledon in 2006.
"He serves well and has a good backhand, but I'm just going to look forward to my game and if I do what I have to do, I'm sure I can win."
A win for Robredo and the other top seeds would help the tournament, which lost two of its biggest drawcards on the first two days.
The biggest shock was the first round loss by Bob and Mike Bryan, the world's number one doubles pair.
The twin Californians are known for their sharp play and their rock band which regularly performs at post-tournament parties.
But they were off their game and met an inspired new pairing of Dutchman Rogier Wassen, a two-time winner of the Auckland doubles tournament, and Argentine Horacio Zeballos.
Bob Bryan said he was embarrassed to have lost so early, and that "pretty much everything" about their game was off.
As they are now looking for a flight to Melbourne, it seems even the after-party performance is off.
The Bryan brothers' loss came a day after former world number three David Nalbandian with an abdominal strain on Monday.
One player who never seems to disappoint on the court at Auckland is German Philipp Kohlschreiber, winner in 2008 and a winner of two matches last year until forced out by injury.
Kohlschreiber was due to play Nalbandian but instead found himself against "lucky loser" Inigo Cervantes-Huegun, ranked a lowly 235.
The German didn't need to get out of second gear to win 6-2 6-3 and will now play improving Brazilian Thomaz Bellucci in the second round.
"I think it's going to be a tough one. I saw his first round, he looked pretty solid and stable," Kohlschreiber said.
"I'll have to improve but I'm looking forward to the match."
Perhaps the best story of the day was the victory by Frenchman Sebastien Grosjean, a former world number four on the way back after a long break due to a shoulder injury.
Grosjean, a tournament wildcard and currently ranked 675, fought hard in a two hour match to beat Germany's Florian Mayer in three sets.
"I don't want to look at the rankings, I want to enjoy my tennis," he said.
"I'm happy to get a wildcard here and I won, so I'm really happy."
New Zealander Rubin Statham also had it confirmed today that his second round opponent would be the eighth seeded Spaniard Albert Montanes, who beat Australian qualifier James Lemke in straight sets.
It is a replay of a centre court match two years ago, when Montanes beat Statham 6-4 6-4.
Montanes said he had respect for Statham despite the New Zealander's ranking of 332.
"It will be a very tough match because he plays very well. He has a good serve, he has very good ground strokes."
Other notable winners were seventh seed Juan Monaco of Argentina and the big-serving American John Isner.
Making their tournament singles debuts today as well as Robredo are three other seeded Spaniards -- 2007 Heineken Open winner David Ferrer, former world number one Juan Carlos Ferrero and Nicolas Almagro.