Nadal committed 30 unforced errors to Schwartzman's 17 and had his serve broken five times.
Australian Open chief Craig Tiley is confident Rafael Nadal will be at Melbourne Park for next month's Grand Slam despite testing positive for COVID-19, but he is still uncertain whether Novak Djokovic will be playing.
Team Europe's Nadal was scheduled to take on Team World's Nick Kyrgios in his singles clash before partnering Swiss Federer to face John Isner and Jack Sock.
Casper Ruud gained sweet revenge over Stefanos Tsitsipas as he beat the Greek fifth seed 7-5, 6-3 to win the Barcelona Open on Sunday.
The major milestones in Djokovic's career
Spaniard Rafael Nadal will team up with perennial rival Roger Federer for the third edition of the Laver Cup in Geneva next year.
Thirteen-time champion Rafael Nadal, 20-time Grand Slam winner Roger Federer and world number one Novak Djokovic were placed in the same half of the French Open draw on Thursday.
Heavier balls to blame for slower game: Nadal
Lucky loser Taro Daniel will replace Nadal in the second round against Jo-Wilfried Tsonga.
Stefanos Tsitsipas credited his stellar comeback win against Rafa Nadal in Wednesday's Australian Open quarter-final to his peace of mind, saying he had attained a state of "nirvana" during the match despite falling back by two sets.
Nagal is likely to reach a new career-high ranking of world No. 92
No tennis for four months, no problem for Rafael Nadal.
With Roger Federer and 2018 champion Novak Djokovic having already made exits, Nadal's path to a fourth US Open trophy has been cleared of familiar hurdles.
Spain's World Cup winning midfielder Aitana Bonmati was named the Sportswoman of the Year, while Serbia's Novak Djokovic captured the top men's honour at the Laureus awards ceremony on Monday.
Rafael Nadal's dominance on the red claycourts in Paris is unmatched, the Spaniard picking up his 13th French Open trophy last year to match Roger Federer's 20 Grand Slam singles titles.
Matching Roger Federer's record Grand Slam haul will act as huge motivation for Rafael Nadal
Djokovic's challenger will be a 22-year-old who is bidding to become the first Greek to win a singles major.
Nadal becomes just the fourth man to achieve 1,000 singles victories in the Open Era, behind Jimmy Connors (1,274), Roger Federer (1,242) and Ivan Lendl (1,068).
Images from Day 1 of the Australian Open in Melbourne on Monday.
Twice finalist Ruud overcomes Davidovich Fokina test
Novak Djokovic said his rivalry with Carlos Alcaraz was becoming like the one he shared with the Spaniard's compatriot, Rafa Nadal, after needing nearly four hours to outlast the 20-year-old world number one in an epic Cincinnati Open final on Sunday.
Second seed Aryna Sabalenka beat Japanese qualifier Moyuka Uchijima 6-2 6-2 under the roof on Court Philippe-Chatrier on Thursday to move into the French Open third round.
Even though he withdrew from his semi-final tie with Denis Shapovalov, Nadal's run to the last four in Paris saw him reclaim the number one spot from Novak Djokovic on Monday.
Nadal set to face Kyrgios clash in second round
Alberto Contador is auctioning his bike from the 2011 Giro d'Italia and Tour de France while Rafael Nadal is selling the shirt he wore when he won the 2019 French Open to raise money for the Spanish Red Cross' fight against the coronavirus.
'I am playing tennis because I love to play tennis'
Images from Monday's action at the Australian Open.
Brazil right back Danilo has been ruled out of the rest of the World Cup after suffering ankle ligament damage in training on the eve of Friday's quarter-final against Belgium.
Dominic Thiem, U.S. Open winner in 2020, has secured a place in the main draw of the Australian Open after the withdrawal of Reilly Opelka, the tournament organisers confirmed on Friday.
The 31-year-old Spaniard has not played since he withdrew from the season-ending World Tour Finals in London in November with a knee injury. He had already withdrawn from an exhibition tournament in Abu Dhabi that starts later on Thursday.
'The world is suffering in general, so we can't complain'
The cool days of late September, with damp courts expected, will level the playing field and for the first time, other than when Rafael Nadal has been injured, he looks vulnerable on his beloved clay.
'Last year I was one point away to the final. I felt competitive last couple of years, so why do I need to change that?'
Daniil Medvedev was philosophical about his loss to Jannik Sinner in Sunday's Australian Open final, rationalising that at least he had made it to the title-decider and not crashed out in an earlier round.
Eight-time Grand Slam winner Ivan Lendl said whoever ends up winning the most majors among the 'Big Three' of Roger Federer, Rafa Nadal and Novak Djokovic should be considered the greatest male tennis player of the Open era. Federer, who will be 39 in August, leads the race with 20 Grand Slam singles titles, with Spaniard Nadal close on his heels with 19. Reigning world No. 1 Djokovic is three behind the Swiss with 17 majors under his belt and is the youngest of the trio - at 32 he is a year younger than Nadal.
Raducanu stormed into the third round of the Cincinnati Open
A quick look at Rafael Nadal's domination of Roger Federer at Roland Garros.
The 12-time French Open champion unhappy with schedule.
Austria's Dominic Thiem strained every sinew trying to cling on to the 32-year-old Spaniard and at times even gained a precarious foothold in his first Grand Slam final.