Federer produced a great perfromance on Centre Court that was fittingly majestic given the presence of Prince Charles in the royal box.
Federer bowed to the heir to the throne before his match and Charles and his wife Camilla gave the Swiss maestro a standing ovation after he thrashed Fognini.
As six-times champion, Federer was well aware of what the royal etiquette is on the world's most famous tennis court.
"They do brief you beforehand so that you don't do anything stupid," Federer said. "We were asked to bow which obviously is no problem."
But Federer did take time in the tunnel leading to Centre Court to explain the procedure to Fognini. They both bowed in perfect union to Prince Charles, who had in turn received his own standing ovation from fans when he appeared in the royal box above the court.
The match itself was a royal procession for Federer who never once looked in any danger.
His glorious groundstrokes and lightning fast movement across the court were greeted with unbridled admiration from the crowd. The graceful genius was at the peak of his form - except at the very start.
He drew gasps of incredulity when he lost the first two points of the match on his serve but normal service was promptly restored when he fired down two aces.
The Italian became so disheartened at the end of the first set that he did not even bother to try and chase down yet another stinging forehand from Federer. He just walked back to his chair, shoulders slumped.
Federer lost just four points on his serve in the second set and was swift to complete his clinical execution of Fognini in the third.
It was a routine day at the office but the third seed has shown he is still very much a contender after dropping just nine games in his first two matches at the tournament he so dearly loves.
"I really tried to focus hard and make sure I played a clean match, "Federer said. "I served 13 aces out there today. I felt it was pretty fast."
Several first-round matches had to be completed on Wednesday after rain and bad light ended play early the previous evening.
Spain's seventh seed David Ferrer finished off Germany's Dustin Brown 7-5 6-4 6-4 but 25th seed Stanislas Wawrinka, who partnered Federer to Olympic doubles gold in Beijing four years ago, lost a five-set cliffhanger to Juergen Melzer.