The Brit did manage to stave off two set points in the sixth game before opening his account for the match - and then earned a pair of break points in the next set, only for Federer to respond and close it out.
Camera IconStefanos Tsitsipas of Greece in action during the men's singles match between Frances Tiafoe of U.S. and Stefanos Tsitsipas of Greece on day 3 of the Hopman Cup tennis tournament at RAC Arena in Perth, Monday, December 31, 2018.
Federer said he had plenty of experience playing against women, going back to his days as a teenage tour hopeful in Switzerland.
The group stage of the tennis tournament will see Federer team up with Belinda Bencic, testing American great Williams, who will perform with rising United States talent Frances Tiafoe.
Federer managed to get off to a good start at the Hopman Cup - an global tournament that sees countries compete with mixed gender teams - when he beat Great Britain's Cameron Norrie 6-1 6-1 yesterday (30 December).
Federer gives Swiss winning start
Roger Federer plays an outstanding match against Cameron Norrie in the Hopman Cup opener.
The holder of 20 major singles titles, Federer, who is eyeing third successive Australian Open crown called the upcoming game a "once-in-a-lifetime" match-up which he is waiting for with excitement. "It was a great match for me", he added. The 37-year-olds have won 43 Grand Slam singles titles between them.
"I had to fight even harder, one of us had to fight a bit more".
World number 91 Norrie's 7-6 (10-8) 6-4 victory over one of the rising stars of men's tennis put the British team in the ascendancy, although Katie Boulter missed a chance to wrap up the win when she lost 6-0 4-6 6-2 to Maria Sakkari. "I never said that", he explained.
The Swiss maestro, who is now playing at the Hopman Cup, barely broke a bead of sweat as he blitzed through his opening match, putting Switzerland in the driver's seat against Great Britain.
"It was very good, I came out of the blocks quick", he said.
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