Inter Milan striker Romelu Lukaku (right) celebrates scoring against Genoa with teammate Lautaro Martinez on Sunday in Milan, Italy. Photo: VCG

Romelu Lukaku scored after 33 seconds and set up another in Inter Milan's 3-0 win over ­Genoa on Sunday to keep their title push on track ahead of city rivals AC Milan, who beat Roma 2-1.

Inter remain four points ahead of second-placed Milan, who got back to winning ways in Rome after consecutive league losses including last weekend's derby defeat.

Champions Juventus are a further six points adrift after being held 1-1 at Hellas Verona on Saturday, but have played a game fewer.

Atalanta, equal on points with Juventus, take fourth spot two points ahead of Roma who drop to fifth following the loss to Milan.

Lukaku scored with the first chance at the San Siro, then laid on Matteo Darmian for Inter's second in the 69th minute. Alexis Sanchez came off the bench to add a third with 13 minutes to go.

Lukaku led the way, completing a give-and-go with Lautaro Martinez after good work from Nicolo Barella to fire in from an angle for his 18th Serie A goal of the season, one shy of leading scorer Cristiano Ronaldo.

The 27-year-old has scored six goals in the last five games.

Milan won an intense battle with rivals Roma at the Stadio Olimpico in the Italian capital, as Stefano Pioli's side push for a first league title since 2011.

A Franck Kessie penalty gave ­Milan the lead five minutes before the interval after Federico Fazio fouled Davide Calabria.

Jordan Veretout pulled Roma level five minutes after the break with an arrowed shot, but the away side were soon back in front.

Ante Rebic drilled home the winner eight minutes later after collecting a pass from Alexis Saelemaekers following a poor clearance from Roma goalkeeper Pau Lopez.

Off-form Milan star Zlatan Ibrahimovic had been substituted shortly before Croatia international Rebic scored the decisive goal.

Ibrahimovic watched the end of game with an ice pack on his left thigh before a week in which he will juggle football and show business as one of the star presenters of the San Remo music festival.

Atalanta kept their Champions League push alive with a 2-0 win over Sampdoria with goals in either half from Ruslan Malinovskyi and Robin Gosens.

Napoli's record goalscorer Dries Mertens returned from injury to help the southerners boost their own top-four hopes with a 2-0 win over local rivals Benevento that puts them a point behind Roma in sixth.

Mertens started for the first time in over two months and the 33-year-old got his boot to a Faouzi Ghoulam cross after half an hour for his 131st Napoli goal.

Matteo Politano turned in the second in the 66th minute and Gennaro Gattuso's side held on for the points despite Kalidou Koulibaly's sending off 10 minutes from time.