Alcaraz fended off two set points late in the first set and then seized control in the tie-break before pulling away for a 7-6 (7/5), 6-1 win, his fourth in a row over world number one Sinner.
Late bloomer Paolini is the first Italian woman to win the Rome event since Raffaella Reggi in 1985 after overcoming former US Open champion Gauff.
Djokovic stunned the tennis world in November when he hired the retired Murray, who had no track record as a coach.
World number two Swiatek was hunting a fourth title at the Foro Italico but failed to get past the third round of the last major tournament before the French Open.
Casper Ruud joked seven was his lucky number after claiming the most important trophy of his career in his seventh big final as he beat Jack Draper on Sunday to win the Madrid Open.
Sabalenka recorded her tour-leading 31st victory this season on the Madrid clay, adding the WTA 1000 trophy to titles in Brisbane and Miami.
The fourth-seeded Djokovic suffered a second consecutive opening defeat, after losing his opener against Alejandro Tabilo in Monte Carlo two weeks ago.
Iga Swiatek admits the strict doping protocols can be stressful for players but feels like she has "been through the worst" after surviving her positive test over contaminated melatonin.
The 38-year-old Spaniard, winner of 22 Grand Slam trophies, including 14 at Roland Garros, retired from the sport after his final match at the Davis Cup in Malaga in November.
Alcaraz fended off two set points late in the first set and then seized control in the tie-break before pulling away for a 7-6 (7/5), 6-1 win, his fourth in a row over world number one Sinner.
Late bloomer Paolini is the first Italian woman to win the Rome event since Raffaella Reggi in 1985 after overcoming former US Open champion Gauff.
Djokovic stunned the tennis world in November when he hired the retired Murray, who had no track record as a coach.
World number two Swiatek was hunting a fourth title at the Foro Italico but failed to get past the third round of the last major tournament before the French Open.
Casper Ruud joked seven was his lucky number after claiming the most important trophy of his career in his seventh big final as he beat Jack Draper on Sunday to win the Madrid Open.
Sabalenka recorded her tour-leading 31st victory this season on the Madrid clay, adding the WTA 1000 trophy to titles in Brisbane and Miami.
The fourth-seeded Djokovic suffered a second consecutive opening defeat, after losing his opener against Alejandro Tabilo in Monte Carlo two weeks ago.
Iga Swiatek admits the strict doping protocols can be stressful for players but feels like she has "been through the worst" after surviving her positive test over contaminated melatonin.
The 38-year-old Spaniard, winner of 22 Grand Slam trophies, including 14 at Roland Garros, retired from the sport after his final match at the Davis Cup in Malaga in November.
The top-seeded Zverev, appearing in his first final since losing to Jannik Sinner in the Australian Open title decider in January, had little trouble dealing with Shelton, ranked 15 in the world.