No.8 seed Paula Badosa and two-time champion Victoria Azarenka captured swift victories Wednesday in their second-round matches at the Australian Open.

Badosa of Spain cruised past Italian qualifier Martina Trevisan 6-0, 6-3 on Rod Laver Arena in 1 hour and 11 minutes. Badosa is currently on a seven-match winning streak. She won her third career WTA singles title last week in Sydney.

Read more: Champions Corner: Paula Badosa's aggressive game plan pays off in Sydney

Words from the winner: "It was a tricky match against Martina," Badosa said. "We know each other since a long time. She's a fighter. I knew she was going to make me play every point, she was going to fight until the end. I'm pretty happy about the win today.

"I think I'm growing as a person, as a tennis player day by day. I'm working very hard. I'm believing in myself. It's much different. Last year I was No.70 in the world. Now I'm No.6. I'm improving a lot. I'm really happy and proud of how I am working."

Fast facts: Badosa had not reached the third round of the Australian Open in her three previous main-draw showings. In fact, she had never won back-to-back matches on Australian soil before her title run in Sydney last week.

But at a career-high ranking of World No.6, Badosa broke new ground in Melbourne Park with her dominant display against World No.111 Trevisan. Badosa slammed five aces, won 80 percent of her first-service points, and was never broken in the affair.

Read more: Rankings watch: Badosa hits career high, Keys rises

Trevisan's best Grand Slam performance by far also occurred when she was a qualifier. At 2020 Roland Garros, after surviving three rounds to make it into the main draw, the Italian reached the quarterfinals, garnering a Top 10 win over Kiki Bertens en route.

Trevisan, 28, was unable to collect her second career Top 10 win over Badosa in Melbourne, although reaching the second round is still her career-best Australian Open result.

Match moments: Trevisan came closest to getting on the board in the first set at 4-0, when she pulled back to deuce from double break point down. But Badosa blasted a winning backhand to obtain a third chance, where Trevisan double-faulted. Badosa easily served out the set from there.

Trevisan at last put a tally in her favor when she saved multiple break points and held in the opening game of the second set, letting out a "Si!" after she won the game. The Italian maintained parity with Badosa in the rallies until 2-2, where the eighth seed broke to take charge for good.

Badosa was untested afterward, dictating the majority of the points with power from both wings, and she broke Trevisan at love in the final game to seal victory. Badosa finished the encounter with four more winners and half as many unforced errors as Trevisan.

Next up: Badosa will next face Ukrainian teenager Marta Kostyuk in the third round. The 19-year-old beat No.32 seed Sara Sorribes Tormo of Spain 7-6(5), 6-3 in just under two hours. Kostyuk is now 2-1 against Sorribes Tormo.

Kostyuk won the Australian Open junior title in 2017 and reached the third round of the main draw in Melbourne the next year at age 15. But Badosa knocked Kostyuk out in Australian Open qualifying the year after that, which is their only prior meeting.

"We've been friends since a long time ago, as well," Badosa said of Kostyuk. "She's a very talented player. When they ask me who can be the next star, I always say Marta. She has a lot of potential. She's always a dangerous player. I will have to play my best because I know she likes these kind of matches and she will play her best next day."

No.24 seed Azarenka, who won the Australian Open title twice consecutively in 2012 and 2013, stormed past Jil Teichmann 6-1, 6-2. Former World No.1 Azarenka is into the third round in Melbourne for the 11th time, but it is her first trip this far since her quarterfinal run in 2016.

Azarenka of Belarus needed 1 hour and 12 minutes to defeat Switzerland's Teichmann, who is the highest-ranked unseeded player in the draw at World No.34.

"I think it was a very solid match from the beginning to the end," Azarenka said. "I thought that my game plan was very well executed and I took my chances. I think I played really well on the important moments. When I had opportunities, I was really going for them."

The left-handed Teichmann is currently at her career-high ranking, bolstered by a run to her first WTA 1000 final last season in Cincinnati. But Teichmann was undone by Azarenka, and the Swiss player is still searching for her first third-round showing at a Grand Slam event.

Both players won roughly three-quarters of their first-service points, but Azarenka dominated when returning Teichmann's second service, winning 79 percent of points (19-for 24).

With persistent depth and pinpoint hitting, Azarenka displayed vintage form as she converted all four of her break points while also saving each of the five break points she faced.

Another former Top 3 player awaits Azarenka in the third round: No.15 seed Elina Svitolina of Ukraine.

"[Svitolina and I] had a few battles already, actually on different surfaces," Azarenka said. "We practiced quite a few times together. I think there won't be too many big surprises on the court.

"She fights no matter what. I think that is a very important quality in her game. The rest is about trying to really focus on myself to be more in charge, be more in control. I think that's what I've been kind of trying to implement for the last few months. I think that's working in the right direction, so I'll continue to do that."

Svitolina advanced into the Australian Open third round for the sixth straight season after her opponent Harmony Tan of France retired due to injury while trailing 6-3, 5-7, 5-1.

Svitolina had a match point on her serve at 6-3, 5-4, but 107th-ranked Tan swept three games in a row to steal the second set and level the affair. But the Frenchwoman took a medical timeout down 4-1 in the final set and was unable to continue beyond the next game.

Giorgi back into third round

Another early Wednesday winner was No.30 seed Camila Giorgi of Italy, who ousted 47th-ranked Tereza Martincova of the Czech Republic 6-2, 7-6(2) in 1 hour and 37 minutes.

Giorgi is into the third round in Melbourne for the fourth time, but will now have to stun No.1 seed Ashleigh Barty in her next match if she is to make her first Australian Open Round-of-16 showing.