Alvaro Morata answered his critics with a brace for Juventus in a thrilling 3-0 win in the first leg of their Italian Cup semi-final against Inter Milan in Turin on Wednesday.

Morata last hit the net for the league and Cup champions four months ago and has fallen out of favour with coach Massimiliano Allegri amid the spectacular rise of Argentinian Paulo Dybala.

But the former Real Madrid striker was given a rare start in the Cup version of the 'Derby d'Italia' -- as the Juve v Inter fixture is commonly known -- and reminded fans of his class with a performance that should have seen him bag a hat-trick.

Morata stepped up to beat Inter 'keeper Samir Handanovic from the spot nine minutes from the interval after Jeison Murillo felled Juan Cuadrado in the area to earn the first of two yellow cards on the night.

Morata hit a superb second just after the hour when he pounced on Melo's poor control of Patrice Evra's drive across goal, spinning away from his marker to fire into Handanovic's far top corner.

Melo's mistake was too much for Inter coach Roberto Mancini, who immediately replaced the Brazilian -- who only returned recently from a three-match ban -- with Marcelo Brozovic.

Brozovic injected some much needed punch into Inter's attack, but their hopes of reducing the arrears suffered a blow only minutes later when Murillo saw red for a second foul on Cuadrado.

It means Mancini will be without two defenders, Murillo and Joao Miranda, for the return leg on March 3.

Morata should have had his third on 78 minutes when Frenchman Paul Pogba curled in a delightful delivery for the Spaniard, but somehow Morata ballooned over from eight yards.

Dybala, who has hit 12 Serie A goals this season, wrapped up the win only minutes after coming off the bench to replace Mario Mandzukic with a superb sweeping shot that went through Handanovic's legs six minutes from time.

Juve, who secured their first league and Cup double in 20 years last season, travel to Milan for the second leg as favourites for their second Cup trophy.

On Tuesday, fallen giants AC Milan edged third division side Alessandria 1-0 at Torino's Stadio Olimpico.