Musetti is ranked a career-high 76th following semi-final runs at both Acapulco and Lyon this year, but playing the top seed at a Grand Slam is a big step up for the former junior number one.
Saturday's victory made Korda the first American player to win a clay court tournament since Sam Querrey in Belgrade 11 years ago.
Emilia-Romagna Open: Sebastian Korda beats Tommy Paul to reach first ATP final, will face Marco Cecchinato
If Korda wins in the final he will be the first American in 11 years to lift a trophy on European clay, since Sam Querrey won in Belgrade in 2010.
Emilia-Romagna Open: Sebastian Korda to take on Tommy Paul in semi-finals; Marco Cecchinato faces Jaume Munar
Sebastian Korda is into his first clay-court semi-final.
Gasquet saved the only break point he faced and converted three of his own to become just the sixth active player to reach the 550 mark.
Italian Open 2020: Teenager Lorenzo Musetti stuns Stan Wawrinka; Garbine Muguruza beats Sloane Stephens in straight sets
Stan Wawrinka, the 10th seed in Rome, lost 6-0, 7-6 (7/2) against a player ranked 249th in the world.
Australian Open 2020: Alexander Zverev pledges to donate $2.84 million prize money to bushfire appeal if he wins maiden Grand Slam
Zverev has not been in the best of form, however, so his further pledge of $10,000 for every match he wins in the tournament might work out to be a more realistic donation
Australian Open 2020: Alexander Zverev says Nick Kyrgios 'not consistent enough' to become Australia's first Grand Slam champion in 42 years
Kyrgios is Australia’s highest-ranked player in the men’s draw, but Zverev was blunt when asked about the prospect of the 23rd seed ending the host nation’s 42-year wait for a homegrown singles champion
ATP Finals 2019: Novak Djokovic gunning for sixth year-end title, wresting control of World No 1 ranking from Rafael Nadal
Djokovic is bidding to equal Pete Sampras' record of finishing six years as the world's best player, while Nadal is looking to achieve the feat for the fifth time
French Open 2019: Novak Djokovic says he can make history again as World No 1 looks to win all four Slams simultaneously for second time
World No 1 Novak Djokovic said that he can make history again as he looks to hold all four Grand Slam titles simultaneously for the second time, after easing into round two at the French Open on Monday.
French Open 2019: Decline of claycourt specialists has led to puzzling change in the competitiveness at Roland Garros
The decline of claycourt specialists has brought about monopoly in the men's tournament and mayhem in the women's tournament at the French Open.
Munich Open: Cristian Garin upsets third seed Marco Cecchinato in straight sets to reach his third ATP final of season
Chile’s Cristian Garin upset third seed Marco Cecchinato 6-2, 6-4 to reach his third ATP final of the season at the Munich Open on Saturday.
Monte Carlo 2019: Novak Djokovic beats Philipp Kohlschreiber in scrappy contest; Guido Pella knocks out Marin Cilic
Djokovic was able to avoid a second straight loss to Kohlschreiber after the 35-year-old beat him last month in the Indian Wells third round
Monte Carlo 2019 draw analysis: At the Rafael Nadal Open, it’s not looking good for the rest of the field
So which of those poor souls is going to be brave enough to try and wrest the trophy from Nadal’s grasp? Here’s a quick break-down of the draw
Rio Open: Dominic Thiem bows out in first round after shock defeat to Laslo Derje; Aljaz Bedene beats Marco Cecchinato
Top seed Dominic Thiem was knocked out the Rio Open in the first round on Tuesday, going down 6-3, 6-3 to Laslo Derje, a result that gave the unheralded Serbian his first victory over a top 10 player in his career.
Argentina Open: Italy's Marco Cecchinato trounces home favourite Diego Schwartzman to claim third ATP title
Italian Marco Cecchinato won the Argentina Open on Sunday with a clinical 6-1, 6-2 demolition of hometown favourite Diego Schwartzman.
Davis Cup Qualifiers 2019: Ramkumar Ramanathan to open India's campaign against Andreas Seppi of Italy
Country's second-ranked player Ramkumar Ramanathan will open India's campaign against Andreas Seppi in the first singles match of their Davis Cup qualifier against Italy, starting on Friday.
Davis Cup Qualifier 2019: Ready or not, top guns gear up for revamped tournament as all roads lead to Madrid
The Davis Cup World Group Qualifiers will be played across the world, from China hosting Japan and Australia’s tie against Bosnia-Herzegovina in the eastern end of the map, to Brazil’s tie against Belgium and Colombia playing Sweden in the far west.
Qatar Open: Novak Djokovic beaten in semi-finals by Spaniard Roberto Bautista Agut despite winning first set
Roberto Bautista Agut took Novak Djokovic's serve in the second game of the final set for the decisive break and secured victory on his first match point.
Qatar Open: World No. 1 Novak Djokovic pulls off hardfought comeback win against Nikoloz Basilashvili
Djokovic will play Spain's Roberto Bautista Agut in Friday's semi-final, who beat three-time Grand Slam winner Stan Wawrinka in straight sets 6-4, 6-4.