MELBOURNE, Australia — Venus Williams has reached the fourth round at a Grand Slam tournament for the first time since Wimbledon in 2011, coming back from a set and a break down to beat Camila Giorgi 4-6, 7-6 (3), 6-1 on Saturday.

The seven-time major winner couldn’t contain her delight after the win on Margaret Court Arena, beaming a smile as she turned to wave to all sides of the stadium and then moved to the music blaring over the loud speakers.

The 34-year-old Williams next faces sixth-seeded Agnieszka Radwanska, a semifinalist here last year and Wimbledon finalist in 2012, who advanced with a 6-0, 7-5 win over Varvara Lepchenko.

Williams was diagnosed with an auto-immune condition called Sjogren’s syndrome in 2011, which can cause joint pain and saps energy.