Bencic and Paul coasted through the first set but won a total of just 12 points in the second set as the match went into a tiebreak.
The opening Grand Slam of the year begins at Melbourne Park on Sunday.
Iga Swiatek heads into Melbourne Park with the Australian Open title the only gap on her Grand Slam resume, but the world number two is keen to avoid setting herself targets for the new season and says her main goal is to improve her game.
Poland battled past Switzerland 2-1 in the United Cup final on Sunday to banish the pain of title-round defeats in the previous two editions and secure a long-awaited maiden triumph in the season-opening mixed-team competition.
Top trio eye Grand Slam glory with Sabalenka targeting third Australian Open crown
World number one Aryna Sabalenka has been named WTA Player of the Year for the second consecutive season after spending the entire year at the top of the rankings.
'I had a deja vu moment on court. I had match point on the same side of the court, went for the same serve and was telling myself the same things. I had goosebumps, it was really special. It's great to win here again.'
The 35th-ranked Bencic did not do a lot wrong but was broken twice in the first set and three times in the second as a sizzling Swiatek brought her A-game to what turned into a one-sided contest.
Belinda Bencic won two tiebreaks to beat teenage Russian seventh seed Mirra Andreeva
Jannik Sinner has withdrawn from the U.S. Open mixed doubles event, where he was going to partner Katerina Siniakova, a day after illness forced the world number one to retire five games into his Cincinnati Open final.
The Polish eighth seed walloped Liudmila Samsonova 6-2, 7-5 to reach the Wimbledon semi-finals for the first time.
Playing in only her second singles match of the year, Bouchard blasted a forehand winner to take the first set but Colombian Arango turned the tables in the second set amid a cascade of unforced errors from her opponent.
Eugenie Bouchard's best year was 2014 when she reached the semi-finals of the French and Australian Opens, and the final of Wimbledon.
'I guess it'll force me to read books more, be more of a productive human probably.'
Iga Swiatek demolished Amanda Anisimova 6-0, 6-0 in just under an hour to clinch her first Wimbledon title and fifth Grand Slam crown overall.
Electronic line calling systems were also affected by the power cut, the ATP said, while spectators shared pictures of dark hallways at the Manzanares Park Tennis Center.
Nine of the world's top-10 men and nine of the top-10 women have officially entered into the U.S. Open's revamped mixed doubles event, tournament organisers said on Tuesday, with former singles champions Carlos Alcaraz and Emma Raducanu teaming up.
At an oven-like Centre Court where the temperature climbed to 30 degrees Celsius, Sabalenka twice rushed to the aid of ill fans by supplying bottles of cold water and an ice pack, before she cracked under pressure from her opponent in the 10th game.
Poland's Iga Swiatek could become only the third woman since tennis turned professional in 1968 to win all of her first six major finals, joining Margaret Court and Monica Seles, but Swiatek is not taking the big-hitting Anisimova lightly.
Images from Day 8 of the Australian Open at Melbourne Park on Sunday.
Novak Djokovic reached the Wimbledon quarter-finals for the 16th time but it proved a hard day's work at his Centre Court office.
Dimitrov was showing signs of fatigue from his three-hour third-round match earlier in the week and could do little to stop the Spanish world number three, who next faces Argentine Francisco Cerundolo.
Safiullin upsets Muller, Moutet through in Mallorca
Daniil Medvedev jumped for joy in an uncharacteristically emotional celebration after holding off young Frenchman Arthur Fils for a 6-4, 2-6, 7-6(7) win amid gusting winds on centre court in quarter-finals of the BNP Paribas Open, at the Indian Wells Tennis Garden, on Thursday.
Australian Nick Kyrgios came from behind to defeat Mackenzie McDonald 3-6, 6-3, 6-4 in the first round of the Miami Open on Wednesday to earn his first win since October 2022.
All the action from Day 4 at the Australian Open on Wednesday
Carlos Alcaraz secured his passage into the fourth round of the Australian Open with a 6-2, 6-4, 6-7(3), 6-3 victory over Nuno Borges.
Carlos Alcaraz kept his Indian Wells 'three-peat' campaign on track with a straight sets win against Canadian Denis Shapovalov in the third round.
The Olympic tennis competition suffered another blow as women's third seed Elena Rybakina joined a lengthy list of non-starters hours after the draw took place at Roland Garros on Thursday
Belinda Bencic of Switzerland and Danielle Collins were among those to win their first-round matches at the Adelaide International
Germany's Andrea Petkovic was visibly emotional on Tuesday as she headed into retirement following a 6-2, 4-6, 6-4 loss to Swiss Olympic champion Belinda Bencic in the first round at the US Open.
The first stop on Serena Williams' farewell tour came to a quick end as she fell to Belinda Bencic in second-round action at the Canadian Open on Wednesday a day after announcing her forthcoming retirement from tennis.
Belinda Bencic reached her first-ever Grand Slam semi-final on Wednesday, fending off Donna Vekic to win 7-6(5), 6-3 in their US Open last-eight clash.
Croatia became the first team to win the mixed-gender team competition following the tournament's return to the tennis calendar after a four-year absence.
In the clash of legends, Roger Federer got the better of Serena Williams in their historic clash in the mixed doubles at the Hopman Cup in Perth on Tuesday.
World number 12 Belinda Bencic dug deep to overpower the Czech Republic's Marketa Vondrousova 7-5, 2-6, 6-3 on Saturday and win the Tokyo Games women's singles title, becoming the first Swiss woman to earn an Olympics tennis gold.
The final will pit power against power when Andreescu takes on her childhood hero Williams, who claimed her first US Open title in 1999 before Andreescu was even born.
Images from Day 8 of the 2023 Australian Open at Melbourne Park on Sunday.
Murray knocked out by Fritz in Washington
Four-times Grand Slam winner Naomi Osaka fired off 18 aces as the Japanese former world number beat Swiss Belinda Bencic 4-6, 6-3, 6-4 on Thursday to reach her first Miami Open final.