Giorgi, who is ranked 10 places above Watson, had won the duo’s only previous tour meeting – in Beijing in 2012 – but Watson exacted her revenge despite facing a superb fightback from her opponent.
Watson lost five straight games in the second set as 29th seed Giorgi levelled??at 5-5, before the British No 1 finally clinched a tense victory in an hour and 45??minutes.
“It was a very tough match as I knew it would be,” Watson said. “Camila’s a great player; she’s just shot up rankings in the last??year.
“I shot up to 5-0 but she also made quite a few errors. She started to came??back.
“I didn’t feel like I did too much wrong; she played too good, hitting winners??and aces. I just had to stay tough and keep fighting.”
Watson’s third round opponent will be seventh seed??Agnieszka Radwanska of Poland, who earlier dispatched America’s Alison Riske in straight sets 6-3 6-1.