World number one Ash Barty won her first WTA Tour match in almost a year at the Yarra Valley Classic, while Naomi Osaka got her Gippsland Trophy campaign going with a victory.
Barty sat out the vast majority of the 2020 season due to the coronavirus pandemic but marked her comeback with a 6-3 6-3 success over Ana Bogdan at Melbourne Park.
The Australian will face Marie Bouzkova next after the Czech defeated Aliona Bolsova on Tuesday.
Garbine Muguruza raced past Alison Van Uytvanck 6-2 6-0 and she was joined in the third round by Petra Kvitova, who battled to beat Venus Williams 7-6 (8-6) 7-5.
Reigning Australian Open champion Sofia Kenin, who was 7-5 up when Camila Giorgi retired from their match, is also through.
In her first match since winning the US Open in September, Osaka cruised to a 6-2 6-2 success against Alize Cornet and will meet Katie Boulter after the Briton came from a set down to beat Coco Gauff 3-6 7-5 6-2.
Iga Swiatek was also making her first appearance since winning a major title – the French Open last October – and after a slow start won 10 of the final 11 games to beat Kaja Juvan 2-6 6-2 6-1.
Aryna Sabalenka ended 2020 with back-to-back titles in Ostrava and Linz, before kicking off the new year with another trophy in Abu Dhabi. However, her run of 15 straight victories ended with a 1-6 6-2 1-6 loss to Kaia Kanepi.
Bianca Andreescu was due to gear up for the Australian Open by contesting the Grampians Trophy this week but withdrew from the competition to focus on training instead.
Swiatek seals Italian Open hat-trick after soaring past Sabalenka
Iga Swiatek stormed to her third Italian Open title following a dominant 6-2 6-3 victory over Aryna Sabalenka.
The world number one took just under an hour-and-a-half to deny the world number two, and complete a hat-trick of triumphs in Rome.
The pair were contesting a second final in as many events, with Swiatek saving three championship points before eventually prevailing in the Madrid Open showpiece a fortnight ago.
However, it was one-way traffic this time around. The Pole converted two out of three break points as she controlled the opening set.
Sabalenka was the last player to deny Swiatek in a WTA final, that coming at last year's Madrid Open.
Although, the second seed was helpless as her opponent broke again in game seven of the second set, before wrapping up a fourth title of the season ahead of the French Open later this month.
Data debrief
Landing her third Italian Open title before turning 23, Swiatek is only the second player to achieve that feat after Gabriela Sabatini.
In fact, at 22 years and 352 days old, she is the youngest player to win 10 WTA 1000 titles since the introduction of the format in 2009.
The Pole also became the third player to triumph in Madrid and Rome during the same season, after Dinara Safina (2009) and Serena Williams (2013).
Jarry defeats Paul to set up Zverev showdown in Italian Open final
Nicolas Jarry defeated Tommy Paul in three sets on Friday to set up a showdown with Alexander Zverev in the Italian Open final.
The men's world number 24 prevailed 6-3 6-7 (3-7) 6-3 in a little under three hours in Rome to reach his first ATP Masters 1000 final.
Jarry earned the only break of serve in the eighth game of the opening set, but Paul - who dropped just one set in four matches en route to this stage - hit back in the second.
Birthday boy Paul lost serve to trail 4-2 at one stage, but he produced one of the shots of the tournament at the ideal moment and soon dragged it back to 4-4.
A gruelling set concluded with Paul taking the tie-break 7-3, but Jarry was unperturbed and won the deciding set with his fifth match point to see off Paul in a gruelling contest.
Data Debrief:
Jarry is the third male Chilean in the Open Era to reach the singles final of the Italian Open after Marcelo Rios (1997-98) and Fernando Gonzalez (2007).
The 28-year-old registered 13 aces against Paul to his opponent's seven and hit 35 winners to 19 in a deserved victory.
Zverev ends Tabilo's dream run to reach Italian Open final
Alexander Zverev fought back from the brink to reach the Italian Open final on Friday, overcoming Alejandro Tabilo by a 1-6 7-6 (7-4) 6-2 scoreline in the last four.
Zverev was punished for a slow start as Tabilo took the opener within 32 minutes, but the German fought back in a one-hour, 15-minute slog of a second set.
The 2017 Italian Open champion put his foot down from 3-3 in the second-set tie-break, with Tabilo potentially feeling the effects of a fine run that included a last-32 upset of Novak Djokovic.
Zverev upped the intensity in the final set and won a huge 94 per cent of points behind his first serve as his opponent wilted, the third seed reaching the Rome final for a third time.
Data Debrief: Zverev draws level with Becker
Zverev will now face either Nicolas Jarry or Tommy Paul in Sunday's final, which will be his 11th at ATP 1000 Masters level.
That tally pulls him level with Boris Becker for most such finals by a German player since the format's 1990 introduction.
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