It will be Federer’s first match of 2014 after he received a bye in the opening round, as the Swiss star seeks to put a turbulent year behind him and climb back up the world rankings.
The Bulgarian was imperious on serve, claiming 83 per cent of points, as his opponent failed to fashion a single break opportunity in the entire match.
“I was happy the way I was serving on the important occasions in every game,” said Dimitrov. “I thought I moved quite well on the court. I enjoyed the match.
“Marin is a very dangerous player, and he’s definitely capable of doing a lot of damage.
“So I’ve just got to be ready and got to make sure that I’m going to have a good service game, and obviously try to cover a lot of court. He has a decent serve as well.”
Elsewhere, American Sam Querrey ousted seventh seed Dmitry Tursunov 7-5 6-4 and Australian Marinko Matosevic picked up his first main draw win on home soil with a 5-7 6-4 7-6(4) victory over Julien Benneteau.